Properties of the Number 22253

Twenty-Two Thousand Two Hundred Fifty-Three

Basics

Value: 22252 → 22253 → 22254

Parity: odd

Prime: No

Previous Prime: 22247

Next Prime: 22259

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 7 × 11 × 17 ²

Divisors: 1, 7, 11, 17, 77, 119, 187, 289, 1309, 2023

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101011011101101

Octal: 53355

Duodecimal: 10A65

Hexadecimal: 56ed

Square: 495196009

Square Root: 149.17439458566608

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

Numbers k such that L(2·k + 1) is prime, where L(m) is a Lucas number. A117522

Smallest positive integer whose smallest coprime divisor shift is n. A366219

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) - 1, where a(0) = 1, a(1) = 4, b(0) = 2, b(1) = 3, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences. A295964

Number of set partitions of [n] such that the maximal absolute difference between the least elements of consecutive blocks equals ten. A322883

Terms of A349937 that are not divisible by 3: numbers k > 1 not divisible by 2 or 3 such that A309906(k-1) < A309906(k) > A309906(k+1). A349941

G.f. is the polynomial (1-x³) * (1-x⁶) * (1-x⁹) * (1-x¹²) * (1-x¹⁵) * (1-x¹⁸) * (1-x²¹) * (1-x²⁴) * (1-x²⁷) * (1-x³⁰) / (1-x)¹⁰. A162617

Numbers k for which 6k+1, 24k+5, 432k²+72k-1, and 432k²+90k-1 are all prime. A175513

a(n) = (4·n+9)*n². A258618

Numbers k such that A075255(k) is the square of a prime. A386954

Multinomial coefficient of the prime signature of n!. A325617