Properties of the Number -2208

Two Hundred Eight

Basics

Value: -2209 → -2208 → -2207

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 23

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: -100010100000

Octal: -4240

Duodecimal: -1340

Hexadecimal: -8a0

Square: 4875264

Square Root: 46.98936049788292

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

Dirichlet inverse of the Jordan function J₂ (A007434). A46970

a(n) = ∑_{d∣n, d == 1 mod 4} d² - ∑_{d∣n, d == 3 mod 4} d². A2173

Expansion of (9*φ(q)*φ(q³)⁵ - φ(q)⁵*φ(q³))/8 in powers of q where φ(q) is a Ramanujan θ function. A113261

∑_{d divides n} d²*(-1)^bigomega(d), where bigomega(n) = A001222(n). A76792

a(n) = Sum[d∣n, d==1 (mod 3), d²] - Sum[d∣n, d==2 (mod 3), d²]. A103440

Expansion of q^-1/2 * (η(q)⁴ * η(q⁴)² / η(q²)³)² in powers of q. A138502

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j) = gcd(i+1, j+1) (A204030). A204111

Expansion of η(q)⁴ * η(q²) * η(q⁶)⁵ / η(q³)⁴ in powers of q. A111661

Expansion of ((φ(q) * φ(-q²)²)² - 1) / 4 in powers of q where φ() is a Ramanujan θ function. A138505

Apply partial sum operator twice to A000594. A144249