Properties of the Number 22038

Twenty-Two Thousand Thirty-Eight

Basics

Value: 22037 → 22038 → 22039

Parity: even

Prime: No

Previous Prime: 22037

Next Prime: 22039

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 3673

Divisors: 1, 2, 3, 6, 3673, 7346, 11019, 22038

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101011000010110

Octal: 53026

Duodecimal: 10906

Hexadecimal: 5616

Square: 485673444

Square Root: 148.45201244846766

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

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7. A252423

Expansion of ∏_k>=0 ((1+x^4·k+1)/(1-x^4·k+1))³. A261652

Numerators of continued fraction convergents to sqrt(425). A41808

Expansion of (η(q)η(q¹⁰)/(η(q²)η(q⁵)))⁶ in powers of q. A284629

Number of binary strings of length n with equal numbers of 00010 and 01000 substrings. A164214

Number of -2..2 arrays x(0..n-1) of n elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing. A200186

Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7. A252419

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7. A252420

Midpoints k of a pair of twin primes such that σ(k) is also the midpoint of a pair of twin primes. A349981

a(n) is the start of the least run of exactly n consecutive positive numbers with an equal value of A177329, or -1 if no such run exists. A374673