Properties of the Number 22045

Twenty-Two Thousand Forty-Five

Basics

Value: 22044 → 22045 → 22046

Parity: odd

Prime: No

Previous Prime: 22039

Next Prime: 22051

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 4409

Divisors: 1, 5, 4409, 22045

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011000011101

Octal: 53035

Duodecimal: 10911

Hexadecimal: 561d

Square: 485982025

Square Root: 148.47558721890948

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

Expansion of 1/(1 - x/(1 - 8·x⁴)^1/4). A373509

G.f.: 1/sqrt(1-10·x² + x⁴/(1-8·x²)) + x/(1-9·x²). A200376

Partial sums of floor(n³/2). A173704

Number of 5-element nondividing subsets of {1, 2, ..., n}. A187492

Number of partitions of n into parts not of the form 25k, 25k+7 or 25k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 11 are greater than 1. A36006

Smallest number k such that in its decimal representation the first n digits of π=3.14... are contained in 11^k. A96935

Composite numbers coprime to 6 such that A179382(n) = A000265(n-1), the odd part of n-1. A225913

E.g.f.: (sec(x) - tan(x)) / (2 - exp(x)). A347070

Stellated octagon numbers: a(n) = 20·n² + 8·n + 1. A381196

Breadth-first reading of the subtree rooted at 5 of the tree where each parent node is the arithmetic derivative (A003415) of all its children. A327975