232 (number)

232 (two hundred [and] thirty-two) is the natural number following 231 and preceding 233.

In mathematics

← 231 232 233 →
Cardinaltwo hundred thirty-two
Ordinal232nd
(two hundred thirty-second)
Factorization23 × 29
Primeno
Divisors1, 2, 4, 8, 29, 58, 116, 232
Greek numeralΣΛΒ´
Roman numeralCCXXXII, ccxxxii
Binary111010002
Ternary221213
Senary10246
Octal3508
Duodecimal17412
HexadecimalE816

232 is both a central polygonal number, a decagonal number, and a cake number. It is both It is also a refactorable number, an idoneal number, a Riordan number and a noncototient.

232 is a telephone number: in a system of seven telephone users, there are 232 different ways of pairing up some of the users. There are also exactly 232 different eight-vertex connected indifference graphs, and 232 bracelets with eight beads of one color and seven of another. Because this number has the form 232 = 44 − 4!, it follows that there are exactly 232 different functions from a set of four elements to a proper subset of the same set.

References

  1. ↑ Sloane, N. J. A. (ed.). "Sequence A000124 (Central polygonal numbers (the Lazy Caterer's sequence))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ↑ Sloane, N. J. A. (ed.). "Sequence A001107 (10-gonal (or decagonal) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ↑ Sloane, N. J. A. (ed.). "Sequence A000125 (Cake numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ↑ Sloane, N. J. A. (ed.). "Sequence A033950 (Refactorable numbers: number of divisors of n divides n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ↑ Sloane, N. J. A. (ed.). "Sequence A000926 (Euler's "numerus idoneus" (or "numeri idonei", or idoneal, or suitable, or convenient numbers))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. ↑ Sloane, N. J. A. (ed.). "Sequence A005043 (Motzkin sums)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  7. ↑ Sloane, N. J. A. (ed.). "Sequence A005278 (Noncototients)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  8. ↑ Sloane, N. J. A. (ed.). "Sequence A000085 (Number of self-inverse permutations on n letters, also known as involutions)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  9. ↑ Peart, Paul; Woan, Wen-Jin (2000), "Generating functions via Hankel and Stieltjes matrices" (PDF), Journal of Integer Sequences, 3 (2), Article 00.2.1, Bibcode:2000JIntS...3...21P, MR 1778992, archived from the original (PDF) on 2015-09-24, retrieved 2014-08-04.
  10. ↑ Sloane, N. J. A. (ed.). "Sequence A007123 (Number of connected unit interval graphs with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  11. ↑ Sloane, N. J. A. (ed.). "Sequence A036679 (n^n - n!)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.