Properties of the Number 22110

Twenty-Two Thousand One Hundred Ten

Basics

Value: 22109 → 22110 → 22111

Parity: even

Prime: No

Previous Prime: 22109

Next Prime: 22111

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 11 × 67

Divisors: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 101011001011110

Octal: 53136

Duodecimal: 10966

Hexadecimal: 565e

Square: 488852100

Square Root: 148.69431730903506

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

T(n,k)=Number of nXk 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value. A267788

a(n) is the concatenation of n and 5n. A19553

Numbers k with k - 1, k + 1, prime(k) - k, prime(k) + k, k·prime(k) - 1, k·prime(k) + 1 all prime. A232861

G.f. A(x) satisfies 1/x⁵ = ∑_n=-oo..+oo A(x)ⁿ * xⁿ * (1 - xⁿ)ⁿ⁺⁴. A384822

Numbers of rank 11 in the poset of lunar numbers. A191753

Numbers m with m - 1, m + 1 and q(m) - 1 all prime, where q(.) is the strict partition function (A000009). A235346

Ternary numbers that are concatenated runs C(1)A(1)B(1)C(2)A(2)B(2)...C(k)A(k)B(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. A371111

G.f. A(x) satisfies: [x^n-1] 1/A(x)^n² = 0 for n>2. A292877

Numbers n such that n divides the denominator of 2n-th Bernoulli number. A106741

Triangle T(n,k), read by rows, of numbers T(n,k)=C⁴(n,k) of combinations with repetitions from n different elements over k for each of them not more than four appearances allowed. A213743