Properties of the Number 10226

Ten Thousand Two Hundred Twenty-Six

Basics

Value: 10225 → 10226 → 10227

Parity: even

Prime: No

Previous Prime: 10223

Next Prime: 10243

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 5113

Divisors: 1, 2, 5113, 10226

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111110010

Octal: 23762

Duodecimal: 5B02

Hexadecimal: 27f2

Square: 104571076

Square Root: 101.1236866416568

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) is the number of n X k arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 n X k array. A219578

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281400

Number of non-strict integer partitions of n that are constant or whose part multiplicities, except possibly the first and last, are all even. A349795

Index of 2ⁿ in A109812. A305370

Number of subsets of {1..n} whose harmonic mean is an integer. A339453

Third column of triangle A054453. A54454

Number of partitions p of n such that 2*(number of even numbers in p) > (number of odd numbers in p). A241655

T(n, 2·n-4), T given by A027960. A27966

McKay-Thompson series of class 12H for the Monster group with a(0) = 4. A187091

Expansion of (1/q) * ((χ(q³) * χ(-q⁶)) / (χ(q) * χ(-q²)))⁴ in powers of q where χ() is a Ramanujan θ function. A193522