Properties of the Number 22656

Twenty-Two Thousand Six Hundred Fifty-Six

Basics

Value: 22655 → 22656 → 22657

Parity: even

Prime: No

Previous Prime: 22651

Next Prime: 22669

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁷ × 3 × 59

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101100010000000

Octal: 54200

Duodecimal: 11140

Hexadecimal: 5880

Square: 513294336

Square Root: 150.51910177781423

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 T(n,k) of tilings of a 3k X n rectangle with right trominoes. A351322

53 'Reverse and Add' steps are needed to reach a palindrome. A65320

G.f. A(x,y) satisfies 1/x = ∑_n=-oo..+oo A(x,y)ⁿ * (A(x,y)ⁿ + y)ⁿ⁺¹, as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y), read by rows. A379200

Numbers with prime signature {7,1,1}, i.e., of form p⁷*q·r with p, q and r distinct primes. A179696

Number of binary strings with n 1's and n 0's avoiding zigzags, that is avoiding the substrings 101 and 010. A78678

T(n,k)=1/7 the number of nXk 0..6 arrays with every element equal to exactly one or two of its horizontal and vertical neighbors. A185409

Number of tilings of a 7 X 3n rectangle with right trominoes. A351324

Number of partitions of n with difference -4 between the number of odd parts and the number of even parts, both counted without multiplicity. A242688

E.g.f.: cosh( Integral exp(x²) dx )². A280794

a(n) = prime(n)*prime(n+1) + prime(n+2). A292926