Properties of the Number 22544

Twenty-Two Thousand Five Hundred Forty-Four

Basics

Value: 22543 → 22544 → 22545

Parity: even

Prime: No

Previous Prime: 22543

Next Prime: 22549

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 1409

Divisors: 1, 2, 4, 8, 16, 1409, 2818, 5636, 11272, 22544

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100000010000

Octal: 54020

Duodecimal: 11068

Hexadecimal: 5810

Square: 508231936

Square Root: 150.14659503298768

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

Numbers k such that ∑_i=1..k i⁶ divides ∏_i=1..k i⁶. A166606

Positions of zeros in A345055, which is the Dirichlet inverse of A011772. A345053

Triangle of coefficients of polynomials v(n,x) jointly generated with A210862; see the Formula section. A210863

Number of 6Xn 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302519

Numbers k such that the k-th prime is in A057468. A102808

Number of permutations of floor(i·7/5), i=0..n-1, with all sums of 3 adjacent terms unique. A152323

Numbers k such that 391·2^k+1 is prime. A323040

Numbers that are not the sum of 2 squares. A22544

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302515

Number of ways to arrange 4 nonattacking queens on the lower triangle of an n X n board. A194494