Properties of the Number 22459

Twenty-Two Thousand Four Hundred Fifty-Nine

Basics

Value: 22458 → 22459 → 22460

Parity: odd

Prime: No

Previous Prime: 22453

Next Prime: 22469

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 37 × 607

Divisors: 1, 37, 607, 22459

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011110111011

Octal: 53673

Duodecimal: 10BB7

Hexadecimal: 57bb

Square: 504406681

Square Root: 149.8632710172843

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 integer partitions of n with all equal lengths of maximal runs of consecutive parts decreasing by 1 but not by 0. A384904

Number of partitions of n such that the number of parts having multiplicity 1 is not a part and the number of distinct parts is not a part. A241445

The least number s having exactly n threes in the continued fraction of sqrt(s). A206583

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1)², where a(0) = 1, a(1) = 2, b(0) = 3, b(1) = 4, and (a(n)) and (b(n)) are increasing complementary sequences. A296251

a(n) is the smallest integer k such that the n-th (forward) difference of the partition sequence A000041 is positive from k onwards. A119712

Squarefree k > 1 with σ(σ(σ(k))) < 3·k + 1. A320513

Floor(1/{(7+n⁴)^1/4}), where {}=fractional part. A184631

Number of length n+3 0..4 arrays with some disjoint pairs in every consecutive four terms having the same sum. A247529

a(n) = 2·A090495(n) - 1. A274297

Number of separable partitions of n in which the number of distinct (repeatable) parts is > 2. A325717