Properties of the Number 22676

Twenty-Two Thousand Six Hundred Seventy-Six

Basics

Value: 22675 → 22676 → 22677

Parity: even

Prime: No

Previous Prime: 22669

Next Prime: 22679

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5669

Divisors: 1, 2, 4, 5669, 11338, 22676

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100010010100

Octal: 54224

Duodecimal: 11158

Hexadecimal: 5894

Square: 514200976

Square Root: 150.58552387264854

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+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the lower median plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237375

G.f. satisfies A(x) = 1 + x*(1 + x·A(x)⁴)². A137955

Least integer m > 0 with π(m·n) = σ(m) + σ(n), where π(.) and σ(.) are given by A000720 and A000203 respectively. A247673

Number of partitions of n such that the number of parts is a part and the number of distinct parts is not a part. A241379

Triangle formed from expansion of (x-1)*(x+2)*(x-3)*...*(x+-n). A47991

Numbers n such that 3·10ⁿ-7 is prime. A102964

Triangle read by rows: coefficients of the alternating factorial polynomial (x+1)(x-2)(x+3)(x-4)...(x+n*(-1)^n-1). A140956

G.f. = b(2)*b(4)*b(6)/(x⁸+x⁶-x⁵+x⁴-2·x³-x+1), where b(k) = (1-x^k)/(1-x). A266340

Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the upper median plus the lower median plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237370

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 345", based on the 5-celled von Neumann neighborhood. A271295