Properties of the Number 22193

Twenty-Two Thousand One Hundred Ninety-Three

Basics

Value: 22192 → 22193 → 22194

Parity: odd

Prime: Yes

Previous Prime: 22189

Next Prime: 22229

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 22193

Divisors: 1, 22193

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011010110001

Octal: 53261

Duodecimal: 10A15

Hexadecimal: 56b1

Square: 492529249

Square Root: 148.9731519435633

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

Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with a path of adjacent 1's from top row to bottom row. A359576

Number of 4 X n binary arrays with a path of adjacent 1's from top row to bottom row. A69362

Smallest number requiring n steps to reach a prime under the "add a digit" process described in A241180. A241182

a(n) = ∑_i=0..n ∑_j=0..n T(i,j), T given by A026769. A26778

Largest prime below prime(n)² (A001248). A54270

Primes p such that q-p = 36, where q is the next prime after p. A134117

Primes p such that p-1 and p+1 are both divisible by fourth powers. A86709

T(n,n+4), T given by A027960. A27964

a(n) is the smallest prime that is the first of n consecutive primes with equal digit sum. A71613

Each entry is the first of three consecutive primes with equal digital sum. A209396