Properties of the Number 22405

Twenty-Two Thousand Four Hundred Five

Basics

Value: 22404 → 22405 → 22406

Parity: odd

Prime: No

Previous Prime: 22397

Next Prime: 22409

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 4481

Divisors: 1, 5, 4481, 22405

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101011110000101

Octal: 53605

Duodecimal: 10B71

Hexadecimal: 5785

Square: 501984025

Square Root: 149.68299836654796

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

Number of symmetry classes of 3 X 3 magilatin squares with positive values < n. A173729

a(n) = binomial(2·n,n) - ceiling(2^2·n/(n+1)). A282708

G.f. A(x) satisfies A(x) = (1 + x) * C(x·A(x)), where C(x) is the g.f. of A000108. A381787

Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 19 (most significant digit on right). A29512

Numbers k such that 3k-4, 3k-2, 3k+2, and 3k+4 are primes. A173092

Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001011. A260497

Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001011. A260500

Number of nX6 0..1 arrays with every element unequal to 0, 1, 2 or 7 king-move adjacent elements, with upper left element zero. A304228

Squarefree semiprimes k such that k+1 is the product of three distinct primes and k+2 is the product of four distinct primes. A376352

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001011. A260501