Properties of the Number 22712

Twenty-Two Thousand Seven Hundred Twelve

Basics

Value: 22711 → 22712 → 22713

Parity: even

Prime: No

Previous Prime: 22709

Next Prime: 22717

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 17 × 167

Divisors: 1, 2, 4, 8, 17, 34, 68, 136, 167, 334

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100010111000

Octal: 54270

Duodecimal: 11188

Hexadecimal: 58b8

Square: 515834944

Square Root: 150.70500987027606

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 k whose deficiency is 64: 2k - σ(k) = 64. A275997

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241435

Numbers k such that there is a number m < k satisfying A000203(k) = A000203(m) = m + k - gcd(m,k). A124141

Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^t+u+v) having two, four, five, six or eight distinct values for every i,j,k<=n. A211752

Number of 4Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241438

Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. A316234

Expansion of tan(tan(log(1+x))). A9689

Number of nX7 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241434

a(n) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 165) or the same sequence for the mesh patterns (12, 167), (12, 225), (12, 233), (12, 270), (12, 302), (12, 330), (12, 458). A289589

Expansion of ∏_m>=1 (1+m·q^m)^-20. A22712