Properties of the Number 7220

Seven Thousand Two Hundred Twenty

Basics

Value: 7219 → 7220 → 7221

Parity: even

Prime: No

Previous Prime: 7219

Next Prime: 7229

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 × 19 ²

Divisors: 1, 2, 4, 5, 10, 19, 20, 38, 76, 95

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000110100

Octal: 16064

Duodecimal: 4218

Hexadecimal: 1c34

Square: 52128400

Square Root: 84.970583144992

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) = n²*(n+1). A11379

Expansion of g.f.: (1+x)/(1-19·x). A170739

a(n) = 5·n². A33429

Number of superdiagonal partitions: partitions (p1, p2, p3, ...) of n such that π >= i. A238873

Number of integer partitions of n such that the number of parts is equal to the number of distinct divisors of parts. A371130

Concentric 20-gonal numbers. A195148

Numbers divisible by prime(d+1) for each digit d of their base-10 representation. A256870

G.f. satisfies: A(x) = 1/(1 + x·A(x²)) and also the continued fraction: 1 + x·A(x³) = [1; 1/x, 1/x², 1/x⁴, 1/x⁸, ..., 1/x^{2^(n-1}), ...]. A101912

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically. A207111

a(n) = 20·n². A195322