Properties of the Number 22420

Twenty-Two Thousand Four Hundred Twenty

Basics

Value: 22419 → 22420 → 22421

Parity: even

Prime: No

Previous Prime: 22409

Next Prime: 22433

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 19 × 59

Divisors: 1, 2, 4, 5, 10, 19, 20, 38, 59, 76

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 101011110010100

Octal: 53624

Duodecimal: 10B84

Hexadecimal: 5794

Square: 502656400

Square Root: 149.73309587395835

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

a(n) = [qⁿ] (1 - q)ⁿ / ∏_j=1..n (1 - q^j). A281425

At stage 1, start with a unit equilateral equiangular triangle. At each successive stage add 3*(n-1) new triangles around outside with edge-to-edge contacts. Sequence gives number of triangles (regardless of size) at n-th stage. A64412

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock equal. A237218

On a spirally numbered square grid, with labels starting at 0, this is the number of the last cell that a (1,n) leaper reaches before getting trapped, or -1 if it never gets trapped. A323472

Number of 3-way interactions when 3 subsets of power set on {1..n} are chosen at random; number of Boolean functions of n variables and rank 3 from Post class F(8,inf). A36240

a(n) = 4·a(n-1) - 9·a(n-2), with a(0)=0, a(1)=1. A190967

Structured triakis octahedral numbers (vertex structure 4). A100171

Numbers n such that 11ⁿ - 2 is prime. A133982

Unmatched value maps: number of n X 2 binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 n X 2 array. A218759

Expansion of (1-q)^k/∏_j=1..k (1-q^j) for k=16. A275644