Properties of the Number 22288

Twenty-Two Thousand Two Hundred Eighty-Eight

Basics

Value: 22287 → 22288 → 22289

Parity: even

Prime: No

Previous Prime: 22283

Next Prime: 22291

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 7 × 199

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011100010000

Octal: 53420

Duodecimal: 10A94

Hexadecimal: 5710

Square: 496754944

Square Root: 149.29166085217219

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) = 4·a(n-1) - 2·a(n-2) with a(0) = 1, a(1) = 4. A7070

a(n) = a(n-1) + (3+(-1)ⁿ)*a(n-2)/2. A7068

a(0)=0; a(1)=1; a(n) = a(n-1) + (3 + (-1)ⁿ)*a(n-2)/2. A62112

Constant term in (1+x)ⁿ mod (1+x⁴). A99586

T(n,k)=Number of nXk 0..3 arrays of the sum of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(k+1) 0..1 array. A229392

Expansion of x³ / (1 - 4·x + 6·x² - 4·x³ + 2·x⁴). A99589

The number of 1 by n Haunted Mirror Maze puzzles with a unique solution ending with a mirror, where mirror orientation is fixed. A204089

Number of n step walks (each step +/-1 starting from 0) which are never more than 3 or less than -3. A68912

Coefficient of x² in (1+x)ⁿ mod 1+x⁴. A99588

Eighth arithmetic derivative of n. A258648