Properties of the Number 20198

Twenty Thousand One Hundred Ninety-Eight

Basics

Value: 20197 → 20198 → 20199

Parity: even

Prime: No

Previous Prime: 20183

Next Prime: 20201

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 10099

Divisors: 1, 2, 10099, 20198

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111011100110

Octal: 47346

Duodecimal: B832

Hexadecimal: 4ee6

Square: 407959204

Square Root: 142.11966788590522

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

Numbers that are the sum of 5 positive 9th powers. A3394

Numbers that are the sum of 8 nonzero 8th powers. A3386

Expansion of ∏_k>=1 1/(1 - x^k)^sigma₉(k). A301547

Number of dying nodes (withering branches) at generation n in the binary tree of persistently squarefree numbers (A293230). A293520

G.f.: A(x) = exp( 2*∑_n>=1 A006519(n)² * xⁿ/n ), where A006519(n) = highest power of 2 dividing n. A162581

Number of pairs (λ,μ) of partitions λ of n and μ of ceiling(n/2) with μ <= λ (by diagram containment). A303852

Larger terms of the pairs (a < b) in the sequence {a,b}-> {Max[{a,b}]-Min[{a,b}],k·Min[{a,b}]} with k=3 and the first pair {a=1,b=2}. See A075256. A75258

Number of Motzkin n-paths with two kinds of level steps one of which is a final step. A143013

Number of pairs (λ,μ) of partitions λ of 2n+1 and μ of n+1 with μ <= λ (by diagram containment). A303863

Convolution of natural numbers with composite numbers. A23539