Properties of the Number -22256

Twenty-Two Thousand Two Hundred Fifty-Six

Basics

Value: -22257 → -22256 → -22255

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 13 × 107

Divisors: 1, 2, 4, 8, 13, 16, 26, 52, 104, 107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: -101011011110000

Octal: -53360

Duodecimal: -10A68

Hexadecimal: -56f0

Square: 495329536

Square Root: 149.18444959177214

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

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4. A252228

Number of diagonal rectangles with corners on an n X n grid of points. A113751

Greater of a pair of amicable numbers k < m such that s(k) = m and s(m) = k, where s(k) = A162296(k) - k is the sum of aliquot divisors of k that have a square factor. A357496

Number of 4-balanced strings of length n: let d(S)= #(1)'s in S - #(0)'s, then S is k-balanced if every substring T has -k<=d(T)<=k; here k=4. A27559

Expansion of ∏_k>=1 1/(1 - x^k)^k*(k+1²/2). A302447

a(n) = Glaisher's function β(2n+1). A322032

E.g.f. satisfies A(x) = 1/(1 - x·exp(x) * A(x)²)². A377527

Numbers n such that (n + prime(n)), (n+1 + prime(n+1)), (n+2 + prime(n+2)) and (n+3 + prime(n+3)) are divisible by 5. A107582

Number of (n+2) X (2+2) 0..2 arrays with every 3 X 3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4. A252222

Number of (n+2) X (5+2) 0..2 arrays with every 3 X 3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4. A252225