Properties of the Number 2199

Two Thousand One Hundred Ninety-Nine

Basics

Value: 2198 → 2199 → 2200

Parity: odd

Prime: No

Previous Prime: 2179

Next Prime: 2203

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 733

Divisors: 1, 3, 733, 2199

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010010111

Octal: 4227

Duodecimal: 1333

Hexadecimal: 897

Square: 4835601

Square Root: 46.89349635077342

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

Number of nonempty subsets of {1..n} whose geometric mean is an integer. A326027

Perfect totient numbers. A82897

T(n,k) = number of nondecreasing arrangements of n numbers x(i) in -(n+k-2)..(n+k-2) with the sum of sign(x(i))*2^|x(i)| zero. A187988

Number of non-knapsack integer partitions of n. A366754

a(n) = ∑_{k=0,1,2,...,n-4,n-2,n-1} a(k); a(n-3) is not a summand, with a(0)=a(1)=a(2)=1. A49864

Base-9 Keith numbers. A188200

Number of partitions of n where the difference between consecutive parts is at most 9. A238869

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251317

a(n) = n³ + 2. A84380

Solution to the non-squashing boxes problem (version 1). A89054