Properties of the Number 98224

Ninety-Eight Thousand Two Hundred Twenty-Four

Basics

Value: 98223 → 98224 → 98225

Parity: even

Prime: No

Previous Prime: 98221

Next Prime: 98227

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 7 × 877

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10111111110110000

Octal: 277660

Duodecimal: 48A14

Hexadecimal: 17fb0

Square: 9647954176

Square Root: 313.4070835191828

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) = DP(n) is the total number of k-double-palindromes of n, where 2 <= k <= n. A180750

Number of n X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 1 vertically. A207164

Number of n X 7 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 1 vertically. A207168

Number of 7 X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 1 vertically. A207175

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 1 vertically. A207169

Number of primes <=10ⁿ in which decimal digits are all distinct. A98224

E.g.f. A(x) satisfies: [xⁿ] A(x)^n*(n+1) = 2·n * [x^n-1] A(x)^n*(n+1) for n>=1. A300873

O.g.f. A(x) satisfies: [xⁿ] exp( n*(n+1) * A(x) ) = 2·n * [x^n-1] exp( n*(n+1) * A(x) ) for n>=1. A300874