Properties of the Number 22265

Twenty-Two Thousand Two Hundred Sixty-Five

Basics

Value: 22264 → 22265 → 22266

Parity: odd

Prime: No

Previous Prime: 22259

Next Prime: 22271

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 61 × 73

Divisors: 1, 5, 61, 73, 305, 365, 4453, 22265

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011011111001

Octal: 53371

Duodecimal: 10A75

Hexadecimal: 56f9

Square: 495730225

Square Root: 149.21461054467824

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

Multiples of Euler numbers. A2438

Expansion of e.g.f.: 1/cos(tan(x)) (even-indexed coefficients only). A9010

Pentagonal numbers (A000326) which are the sum of 2 other positive pentagonal numbers. A136117

E.g.f.: (sin x + cos 2x) / cos 3x. A7286

Pentagonal numbers (A000326) whose digit reversal is a semiprime (A001358). A115709

a(n) = 13·n² - 16·n + 5. A202141

a(n) = Im((1-I)^1-n*A_{n, 3}(I)) where A_{n, k}(x) are the generalized Eulerian polynomials. A225147

Array read by ascending antidiagonals: A(n, k) = ∑_{j = 0..k} binomial(k, j) * Euler(j, 0) *(2·n)^j. A377666

Gaps of 2 in sequence A038593 (lower terms). A38643

a(n) = (3ⁿ+1) * (3ⁿ⁺¹+1) / 8. A51406