Properties of the Number 22088

Twenty-Two Thousand Eighty-Eight

Basics

Value: 22087 → 22088 → 22089

Parity: even

Prime: No

Previous Prime: 22079

Next Prime: 22091

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 11 × 251

Divisors: 1, 2, 4, 8, 11, 22, 44, 88, 251, 502

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101011001001000

Octal: 53110

Duodecimal: 10948

Hexadecimal: 5648

Square: 487879744

Square Root: 148.62032162527439

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 arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of floor(x(i)/x(i+1)) equal to zero. A189498

Number T(n,k) of sets of exactly k nonempty words with a total of n letters over n-ary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter; triangle T(n,k), n>=0, read by rows. A293815

Number T(n,k) of multisets of exactly k nonempty words with a total of n letters over n-ary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A293808

Triangle read by rows: coefficients of the polynomials A_2,5(n,k). A245172

a(n) = ∑_k=0..n A000108(k)*A001263(n+1,k+1), where A000108 is the Catalan numbers and A001263 is the Narayana triangle. A128088

Numbers k such that if x = σ(k) + τ(k) - k then k = σ(x) + τ(x) - x. A238226

Sum of the largest two parts in the partitions of 4n into 4 parts with smallest part equal to 1. A239186

Smallest k such that the fundamental unit (x+y·w) or (x+y·w)/2 of the real quadratic field Q(sqrt(k)) obeys gcd(k,y)=n. A197170

Number of standard Young tableaux with n cells and 10 as last value in the first row. A245008

Number of sets of exactly two nonempty words with a total of n letters over n-ary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter. A293964