Properties of the Number 22512

Twenty-Two Thousand Five Hundred Twelve

Basics

Value: 22511 → 22512 → 22513

Parity: even

Prime: No

Previous Prime: 22511

Next Prime: 22531

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 7 × 67

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011111110000

Octal: 53760

Duodecimal: 11040

Hexadecimal: 57f0

Square: 506790144

Square Root: 150.0399946680884

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) binary matrices with every 3 X 3 block having exactly four 1's. A181262

Expansion of 1/(1 - 4·x - 4·x²)^5/2. A374511

Square array A(n,k) = A388978(A388981(n, k)), read by descending antidiagonals. A389168

Expansion of e.g.f. cos(tan(x)²) (even powers only). A9083

Expansion of ∏_m>=1 1/(1 + m·q^m)⁵. A22697

a(n) = 625·n² + 2·n. A158382

Number of (n+2)X6 binary matrices with every 3X3 block having exactly four 1's. A181258

Number of (n+2)X7 binary matrices with every 3X3 block having exactly four 1's. A181259

Number of partitions of n unlabeled objects of 8 colors. A270241

Number of nX3 0..1 arrays with every element unequal to 0, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A304947