Properties of the Number 22365

Twenty-Two Thousand Three Hundred Sixty-Five

Basics

Value: 22364 → 22365 → 22366

Parity: odd

Prime: No

Previous Prime: 22349

Next Prime: 22367

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 7 × 71

Divisors: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011101011101

Octal: 53535

Duodecimal: 10B39

Hexadecimal: 575d

Square: 500193225

Square Root: 149.54932296737422

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Odd primitive abundant numbers. A6038

a(n) is the number of conjugacy classes in the alternating group A_n. A702

Numbers equal to a permutation (or rearrangement) of the digits of the sum of their proper divisors. Rearrangements which cause leading zeros are excluded. A85844

Irregular triangle of odd primitive abundant numbers (A006038) in which row n has numbers with n distinct prime factors. A188439

Number of transitive relations on an n-set with exactly two ordered pairs. A349919

Number of essentially different ways of arranging numbers 1 through 2n around a circle so that the sum and absolute difference of each pair of adjacent numbers are prime. A227050

Odd recursive abundant numbers: odd numbers k such that A333926(k) > 2·k. A333950

a(n) = ∑_{k=0..floor(n/5)} (n-4·k)!/(n-5·k)!. A357570

Primitive terms of A388034. A388035

Number of singular n X n rational {0,1}-matrices with no zero rows or columns and with all rows distinct and all columns distinct, up to permutation of rows. A116527