202 (number)

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← 201 202 203 →
Cardinaltwo hundred two
Ordinal202nd
(two hundred second)
Factorization2 × 101
Divisors1, 2, 101, 202
Greek numeralΣΒ´
Roman numeralCCII
Binary110010102
Ternary211113
Quaternary30224
Quinary13025
Senary5346
Octal3128
Duodecimal14A12
HexadecimalCA16
VigesimalA220
Base 365M36

202 (two hundred [and] two) is the natural number following 201 and preceding 203.

In mathematics[edit]

202 is a Smith number, meaning that its digit sum and the sum of digits of its prime factors are equal.[1] It is also a strobogrammatic number, meaning that when shown on a seven-segment display, turning the display upside-down shows the same number.[2]

There are exactly 202 partitions of 32 (a power of two) into smaller powers of two.[3] There are also 202 distinct (non-congruent) polygons that can be formed by connecting all eight vertices of a regular octagon into a cycle,[4] and 202 distinct (non-isomorphic) directed graphs on four unlabeled vertices, not having any isolated vertices.[5]

See also[edit]

References[edit]

  1. ^ Sloane, N. J. A. (ed.). "Sequence A006753 (Smith (or joke) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A018846 (Strobogrammatic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A002577 (Number of partitions of 2^n into powers of 2)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A000940 (Number of n-gons with n vertices)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ Sloane, N. J. A. (ed.). "Sequence A053598 (Number of n-node unlabeled digraphs without isolated nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.