Properties of the Number 22011

Twenty-Two Thousand Eleven

Basics

Value: 22010 → 22011 → 22012

Parity: odd

Prime: No

Previous Prime: 22003

Next Prime: 22013

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 23 × 29

Divisors: 1, 3, 11, 23, 29, 33, 69, 87, 253, 319

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010111111011

Octal: 52773

Duodecimal: 108A3

Hexadecimal: 55fb

Square: 484484121

Square Root: 148.3610461003831

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 n such that p(6n) is prime, where p(n) is the number of partitions of n. A111036

Pseudoprimes to base 4, written in base 4. A262101

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

Number of nonnegative solutions to (x₁)² + (x₂)² + ... + (x₇)² <= n. A341402

Partial sums of A255744. A255765

dot_product(n,n-1,...2,1)*(6,7,...,n,1,2,3,4,5). A26063

Triangle of rooted planar maps up to orientation-preserving isomorphisms. A46653

a(n) = floor(n*(n+2)*(2·n-1)/8). A7518

Denominators of continued fraction convergents to sqrt(685). A42317

Numbers k such that sopfr(k + bigomega(k)) = sopfr(k). A187877