Properties of the Number 8222

Eight Thousand Two Hundred Twenty-Two

Basics

Value: 8221 → 8222 → 8223

Parity: even

Prime: No

Previous Prime: 8221

Next Prime: 8231

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 4111

Divisors: 1, 2, 4111, 8222

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000011110

Octal: 20036

Duodecimal: 4912

Hexadecimal: 201e

Square: 67601284

Square Root: 90.67524469225324

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 of strict odd-length integer partitions of 2n. A344650

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 balanced p-trees with n leaves. A316624

a(n) = floor(C(n+8,8)/C(n+2,2)). A84631

Number of integer-sided triangles with all sides <= n and sides relatively prime. A123324

Sums of two (not necessarily distinct) Mersenne primes (A000668). A171251

Number of partitions of n such that (greatest part) - (least part) >= number of parts. A237834

Magic sums of 4 X 4 magic squares composed of triangular numbers. A271579

Numbers k such that 3 is the smallest decimal digit of k⁴. A291671

Concatenate n-th composite number with concatenation of its prime factors in ascending order. A245315