Properties of the Number 22864

Twenty-Two Thousand Eight Hundred Sixty-Four

Basics

Value: 22863 → 22864 → 22865

Parity: even

Prime: No

Previous Prime: 22861

Next Prime: 22871

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 1429

Divisors: 1, 2, 4, 8, 16, 1429, 2858, 5716, 11432, 22864

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100101010000

Octal: 54520

Duodecimal: 11294

Hexadecimal: 5950

Square: 522762496

Square Root: 151.2084653714864

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

Expansion of ∏_m>=1 1/(1-x^m)^A000009(m). A89259

Number of ordered partitions of partitions. A55887

G.f. A(x) satisfies: A(x) = A(x² + x³) / x. A350432

Total number of parts coprime to n in the partitions of n into 10 parts. A363328

Triangular array read by rows: T(n,k) is the number of ordered set partitions of {1,2,...,n} with exactly k singletons, n>=0, 0<=k<=n. A187784

Expansion of determinant of 24 X 24 matrix M_u,v = q^{maj(u·v^-1}) where u, v in S₄ and maj = MacMahon's major index (cf. A008302). A323978

Number of compositions of n with difference 3 between the number of odd parts and the number of even parts, both counted without multiplicity. A242843

a(n) = τ(n)ⁿ mod n^τ(n). A302976

The smallest term in A061862 with exactly n distinct partitions into a sum of nonnegative powers of its digits. A388297

a(n) = 4ⁿ mod n⁴. A66608