Properties of the Number 22444

Twenty-Two Thousand Four Hundred Forty-Four

Basics

Value: 22443 → 22444 → 22445

Parity: even

Prime: No

Previous Prime: 22441

Next Prime: 22447

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 31 × 181

Divisors: 1, 2, 4, 31, 62, 124, 181, 362, 724, 5611

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101011110101100

Octal: 53654

Duodecimal: 10BA4

Hexadecimal: 57ac

Square: 503733136

Square Root: 149.81321704042003

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..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000101. A259952

Numbers with digits 2 and 4 only. A284920

Numbers k such that k·Fibonacci(k) + 1 is prime. A134313

L.g.f.: ∑_n>=1 a(n)*xⁿ/n = ∑_n>=1 xⁿ/n·exp( ∑_k>=1 3·a(n·k)*x^n·k/k ). A203267

Sort then Add, a(1)=29. A33904

Expansion of g.f. (1+x-2·x²+x³+x⁴)/((1-x)²*(1+x)²*(1+2·x)²). A106691

a(n) = prime(x) - π(x) where·is the least·such that (prime(x+1) - π(x+1)) - (prime(x) - π(x)) = n. A111183

a(n) = 4*(5·n² - 5·n + 1). A193448

Number of 3 X n 0..1 arrays with rows nondecreasing and antidiagonals unimodal. A224134

Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000101. A259945