22 (number)

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22
Cardinal twenty-two
Ordinal 22nd
(twenty-second)
Factorization 2 \cdot 11
Divisors 1, 2, 11, 22
Roman numeral XXII
Binary 101102
Octal 268
Duodecimal 1A12
Hexadecimal 1616

22 (twenty-two) is the natural number following 21 and preceding 23.

Contents

[edit] In mathematics

Twenty-two is an even composite number, its proper divisors being 1, 2 and 11. 22 is the sixth discrete semiprime and the fourth in the (2.q) family. With 21 it forms the second discrete semiprime pair. 22 has an aliquot sum of 14 and is the fifth composite number found in the 7-aliquot tree. It has a 7- member aliquot sequence 22, 14, 10, 8, 7, 1, 0 of which the next two members are themselves discrete semiprimes, 22 is the first discrete semiprime exhibiting this property. 169 also has 14 as its aliquot sum. 22 is itself the aliquot sum of two numbers 20, 38.

Twenty-two is a pentagonal number and a centered heptagonal number. When cutting a circle with just six line segments, the maximum number of pieces that can be so created is 22,[1] thus 22 is a central polygonal number (see lazy caterer's sequence).

The sum of the totient function for the first eight integers is 22. 22 is a Perrin number, preceded in the sequence by 10, 12, 17.

22 divided by 7 approximates the irrational number π, the ratio of the circumference of a circle to its diameter.

Since it is possible to find sequences of 22 consecutive integers such that each inner member shares a factor with either the first or the last member, 22 is an Erdős–Woods number.

It is a Smith number in base 10.

[edit] In physics and chemistry

[edit] In religion

  • There are 22 letters in the Hebrew alphabet
  • There are 22 chapters of the Revelation of John in the Bible
  • In the Kabbalah, there are 22 paths between the sephiroth
  • Psalm 22 (22nd in the Book of Psalm in the King James Bible), described by the New American Standard Bible as the "A Cry of Anguish and a Song of Praise", is the Psalm to which the crucified and dying Jesus makes reference, citing its first verse in Aramaic (Matthew 27:46; Mark 15:34)
  • There are 22 verses in Surah "Al Burooj"(The Zodiac, or Constellations), in the Quran. Linking the Zodiac and the mystery of the number 22, as found in the Major Arcana.

[edit] In numerals

  • In the divinatory tarot, there are 22 major arcana cards. These cards are numbered 0-21, so it is a matter of interpretation whether The Fool or The World is card number 22. The latter card is almost always associated with hard workers, a red-gold colour, and a rose-gold gemstone. The digital root of the 22 is the 4, which is the number of hard work.

[edit] In sports

[edit] In music

[edit] In journalism, literature, fashion, art, film and television

  • Catch-22, the 1961 novel (and its 1970 film version) by Joseph Heller, which consequently gave rise to the expression "catch-22"
  • Twenty-Two, Season 2–episode 17 (February 10, 1961) of the 1959-64 TV series The Twilight Zone in which a hospitalized dancer has nightmares about a sinister nurse inviting her to Room 22, the hospital morgue.
  • In the online series Prom Queen, the number 22 factors prominently into the story, appearing in numerous episodes, and the digits in the date of the prom (6/9/07) add up to 22.
  • Revista 22, a magazine published in Romania
  • The typical (minimum) number of episodes in a season for a television program broadcast on a major American network is 22.
  • Insult comedian Jack E. Leonard, on his numerous television game show appearances, answered with "22" to any question requiring a numerical response.
  • On the show Most Evil, a forensic psychiatrist scales from 1 to 22, evilness is mentally evaluated.
  • There are 22 stars in the Paramount Films logo.
  • The typical length of a half hour sitcom not including commercials is 22 minutes.
  • In the 1942 film Casablanca, Rick's Café Americain has a trick roulette wheel. Rick (played by Humphrey Bogart) uncharacteristically takes pity on a young Bulgarian refugee couple. The husband has lost most of his money at roulette, trying to win enough to bribe police captain Renault. Rick suggests the man bet on 22. After the number comes up, Rick tells him to let it all ride. He does, and wins again. Rick tells him to cash in his winnings ... and never come back.

[edit] In weights and measures

[edit] In computing

[edit] In technology

[edit] In photography

[edit] In politics

  • The central number in the numerologically-based political platform of fringe U.S. Presidential candidate Love 22
  • 22nd Bahman 1357 (according to the Iranian calendar; February 11, 1979) a revolution took place in Iran resulting in the decline of Pahlavi Dynasty in Iran which consequently led to establishment of the Islamic Republic of Iran under the leadership of Ruh-o llah Khomayni. Latter this day has been annually celebrated by the Iranian government.

[edit] In jargon

  • In French, "22" is used as a phrase to warn of the coming of the police (typically "22, v'là les flics !", "22, here come the cops!")

[edit] In other fields

Twenty-two may also refer to:

  • The number of the French department Côtes-d'Armor
  • The Titanic was traveling at a speed of 22 knots before it crashed into an iceberg.
  • In bingo, 22 is referred to as 'Two Little Ducks'
  • The license plate number of Edirne, Turkey

[edit] See also

[edit] References

  1. ^ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1986): 31

[edit] External links

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