232 (number)

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

In mathematics

← 231 232 233 →
Cardinal two hundred thirty-two
Ordinal 232nd
(two hundred thirty-second)
Factorization 23 × 29
Prime no
Greek numeral ΣΛΒ´
Roman numeral CCXXXII
Binary 111010002
Ternary 221213
Senary 10246
Octal 3508
Duodecimal 17412
Hexadecimal E816

232 is both a central polygonal number [1] and a cake number. [2] It is both a decagonal number [3] and a centered 11-gonal number. [4] It is also a refactorable number, [5] a Motzkin sum, [6] an idoneal number, [7] a Riordan number and a noncototient. [8]

232 is a telephone number: in a system of seven telephone users, there are 232 different ways of pairing up some of the users. [9] [10] There are also exactly 232 different eight-vertex connected indifference graphs, and 232 bracelets with eight beads of one color and seven of another. [11] 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. [12]

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References

  1. ↑ Sloane, N. J. A. (ed.). "SequenceA000124(Central polygonal numbers (the Lazy Caterer's sequence))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. ↑ Sloane, N. J. A. (ed.). "SequenceA000125(Cake numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  3. ↑ Sloane, N. J. A. (ed.). "SequenceA001107(10-gonal (or decagonal) numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  4. ↑ Sloane, N. J. A. (ed.). "SequenceA069125(Centered 11-gonal numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation..
  5. ↑ Sloane, N. J. A. (ed.). "SequenceA033950(Refactorable numbers: number of divisors of n divides n)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  6. ↑ Sloane, N. J. A. (ed.). "SequenceA005043(Motzkin sums)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  7. ↑ Sloane, N. J. A. (ed.). "SequenceA000926(Euler's "numerus idoneus" (or "numeri idonei", or idoneal, or suitable, or convenient numbers))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  8. ↑ Sloane, N. J. A. (ed.). "SequenceA005278(Noncototients)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  9. ↑ Sloane, N. J. A. (ed.). "SequenceA000085(Number of self-inverse permutations on n letters, also known as involutions)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  10. ↑ 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.
  11. ↑ Sloane, N. J. A. (ed.). "SequenceA007123(Number of connected unit interval graphs with n nodes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  12. ↑ Sloane, N. J. A. (ed.). "SequenceA036679(n^n - n!)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.


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