Properties of the Number 22001

Twenty-Two Thousand One

Basics

Value: 22000 → 22001 → 22002

Parity: odd

Prime: No

Previous Prime: 21997

Next Prime: 22003

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 7 ² × 449

Divisors: 1, 7, 49, 449, 3143, 22001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010111110001

Octal: 52761

Duodecimal: 10895

Hexadecimal: 55f1

Square: 484044001

Square Root: 148.32734070291963

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 partitions of n that do not contain 2 as a part. A27336

Smallest multiple of n with digit sum = 5, or 0 if no such number exists, e.g. a(3k) = a(11k) = 0. A69524

Ternary numbers that are concatenated runs C(1)B(1)A(1)C(2)B(2)A(2)...C(k)B(k)A(k), where A(i) is a run of 1's, B(i) a run of 0's, and C(i) a run of 2's, for i = 1..k. A371109

A239461(n) / n². A239464

E.g.f. S(x) satisfies: C(x)² - S(x)² = 1 and D(x)³ - S(x)³ = 1, where functions C(x) and D(x) are described by A280621 and A280622, respectively. A280620

Greater of number pair whose squares are reversals of each other, with no leading zeros allowed. A106324

a(n) = A002865(2·n-1)+A002865(2·n). A182845

Sums of antidiagonals of A223968. A223940

Sequence A261220 shown in factorial base: a(n) = A007623(A261220(n)). A260743

Length of n-th iterate of the mapping 00->0010, 01->100, 10->000 in A289235. A289153