Properties of the Number -2224

Two Hundred Twenty-Four

Basics

Value: -2225 → -2224 → -2223

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 139

Divisors: 1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100010110000

Octal: -4260

Duodecimal: -1354

Hexadecimal: -8b0

Square: 4946176

Square Root: 47.15930449020638

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

a(n) = ∑_{k=0..floor(n/4)} (-1)^k * binomial(n+3,4·k+3) * Catalan(k). A360050

Expansion of e.g.f. exp(arcsin(tanh(x))). A12123

sinh(arcsin(tanh(x)))=x-4/5!*x⁵+80/7!*x⁷-2224/9!*x⁹+88960/11!*x¹¹... A12127

Centered triangular numbers: a(n) = 3·n*(n-1)/2 + 1. A5448

Numbers k such that 3^k - 2 is prime. A14224

Number of partitions of n-1 boys and one girl with no couple. A120452

Number of partitions of n such that number of odd parts is greater than or equal to number of even parts. A130780

Product of the 4th power of a prime (A030514) and a different prime (p⁴*q). A178739

Expansion of 1 + ∑_k>0 x^k^2/((1-x)(1-x²)...(1-x^2k)). A122129

Number of pairwise coprime compositions of n, where a singleton is not considered coprime unless it is (1). A337462