230 (number)
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| Cardinal | two hundred thirty | |||
| Ordinal | 230th (two hundred thirtieth) | |||
| Factorization | 2 × 5 × 23 | |||
| Divisors | 1, 2, 5, 10, 23, 46, 115, 230 | |||
| Greek numeral | ΣΛ´ | |||
| Roman numeral | CCXXX, ccxxx | |||
| Binary | 111001102 | |||
| Ternary | 221123 | |||
| Senary | 10226 | |||
| Octal | 3468 | |||
| Duodecimal | 17212 | |||
| Hexadecimal | E616 | |||
230 (two hundred [and] thirty) is the natural number following 229 and preceding 231.
In mathematics
[edit]230 is a composite number and more specifically a sphenic number[1] because it is the product of 3 primes. It is also the smallest sphenic number to immediately precede another sphenic number.
230 a repdigit in bases 22 (AA22), 45 (5545), and 114 (22114). Like all repdigits, it is palindromic in these bases. It is a Harshad number in bases 2, 6, 10, 12, and 23, as well as16 other bases.
230 is a happy number.[2]
230 is a nontotient[3] since there is no integer with 230 coprimes below it.
230 is the aliquot sum of both 454 and 52441. The aliquot sequence starting at 224 is: 224, 280, 440, 640, 890, 730, 602, 454, 230, 202, 104, 106, 56, 64, 63, 41, 1, 0.
A maximum of 230 pieces can be obtained by cutting an annulus with 20 cuts.[4]
There are 230 unique space groups describing all possible crystal symmetries.
References
[edit]- ↑ "Sloane's A007304 : Sphenic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-09-05.
- ↑ "Sloane's A007770 : Happy numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-09-05.
- ↑ "Sloane's A005277 : Nontotients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-09-05.
- ↑ Sloane, N. J. A. (ed.). "Sequence A000096 (a(n) = n*(n+3)/2)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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