Properties of the Number 22254

Twenty-Two Thousand Two Hundred Fifty-Four

Basics

Value: 22253 → 22254 → 22255

Parity: even

Prime: No

Previous Prime: 22247

Next Prime: 22259

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 3709

Divisors: 1, 2, 3, 6, 3709, 7418, 11127, 22254

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011011101110

Octal: 53356

Duodecimal: 10A66

Hexadecimal: 56ee

Square: 495240516

Square Root: 149.17774632967212

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

Apply partial sum operator thrice to primes. A14150

Numbers which are the sum of their proper divisors containing the digit 7. A59466

Compound filter (summands of A004001 & summands of A005185): a(n) = P(A286541(n), A286559(n)), where P(n,k) is sequence A000027 used as a pairing function, with a(1) = a(2) = 0. A286560

a(n) is the sum over all floor(k³/n), k=0 to n inclusive. A14818

Sum of the heights of the first peaks in all dispersed Dyck paths of length n (i.e., in Motzkin paths of length n with no (1,0)-steps at positive heights). A191307

Triangle of numbers of walks in the quarter-plane, of length 2n beginning and ending at the origin using steps {(1,1), (1,0), (-1,0), (-1,-1)} (Gessel steps) arranged according to the number of times the steps (1,1) and (-1,-1) occur. A157513

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 331", based on the 5-celled von Neumann neighborhood. A271279

a(n) = n*(1-3n+2·n²+2·n³)/2. A277977

Number of inequivalent 3 X 3 matrices with entries in {1,2,3,..,n} up to vertical and horizontal reflections. A282614

Gaussian binomial coefficients [ n,3 ] for q = 9. A22254

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