Properties of the Number 22071

Twenty-Two Thousand Seventy-One

Basics

Value: 22070 → 22071 → 22072

Parity: odd

Prime: No

Previous Prime: 22067

Next Prime: 22073

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 1051

Divisors: 1, 3, 7, 21, 1051, 3153, 7357, 22071

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011000110111

Octal: 53067

Duodecimal: 10933

Hexadecimal: 5637

Square: 487129041

Square Root: 148.5631178994302

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

Icosahedral numbers: a(n) = n*(5·n² - 5·n + 2)/2. A6564

G.f. A(x) satisfies: A(x³*R(x)) = x⁴ - x⁵ where A(R(x)) = x. A350434

Number of partitions of n such that (least part) = (multiplicity of greatest part). A240180

a(n) = ∑_k=1..n sigma₃(k)². A356536

Trajectory of 80 under the map n-> A006369(n). A223084

a(n) = ∑_{k=0..floor(n/5)} C(n-3·k,2·k) * 2^k. A98577

Number of (n+1)X(n+1) 0..3 symmetric matrices containing all values 0..3 with every 2X2 subblock having one or two distinct values, and new values 0..3 introduced in lower triangle row major order. A210815

θ series of D*_18 lattice. A22071