Properties of the Number 22464

Twenty-Two Thousand Four Hundred Sixty-Four

Basics

Value: 22463 → 22464 → 22465

Parity: even

Prime: No

Previous Prime: 22453

Next Prime: 22469

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ³ × 13

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 13, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011111000000

Octal: 53700

Duodecimal: 11000

Hexadecimal: 57c0

Square: 504631296

Square Root: 149.87995196156155

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 g.f.: (1+x)/(1 - 12·x). A170732

Expansion of 1 / (1 + x² - x³) in powers of x. A77961

Numbers whose prime indices have more than one permutation with all equal run-sums. A383015

a(n) = n³ * ∑_{p∣n, p prime} 1/p³. A351242

Number of numerical semigroups of genus n; conjecturally also the number of power sum bases for symmetric functions in n variables. A7323

Sums of distinct powers of 12. A33048

Irregular triangle read by rows: T(n,k) (n >= 1, k >= n+1) is the number of cells with k vertices in the dissection of an n-dimensional cube by all the hyperplanes that pass through any n vertices. A333543

Expansion of 1/(1+x²+x³). A77962

Number of reduced words of length n in Coxeter group on 13 generators S_i with relations (S_i)² = (S_i S_j)¹⁶ = I. A167919

Chromatic polynomial of the star graph on 4 vertices (claw graph) and the path graph on 4 vertices. A179824