Properties of the Number 22206

Twenty-Two Thousand Two Hundred Six

Basics

Value: 22205 → 22206 → 22207

Parity: even

Prime: No

Previous Prime: 22193

Next Prime: 22229

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 3701

Divisors: 1, 2, 3, 6, 3701, 7402, 11103, 22206

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101011010111110

Octal: 53276

Duodecimal: 10A26

Hexadecimal: 56be

Square: 493106436

Square Root: 149.01677757890218

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

Let v = list of denominators of Farey series of order n (see A006843); a(n) = sum of products of adjacent terms of v. A278046

Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape L; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A247704

Triangle read by rows: first row is 2; given row k, define the elements of row k+1 as the (sorted) elements derived from row k by two recursion rules: (i.) if·is in row k, then (x+5)² is in row k+1; (ii.) if x² is in row k, then·is in row k+1. A296142

Triangle T, read by rows, equal to the matrix cube of triangle A113084, which satisfies the recurrence: A113084(n,k) = [A113084³](n-1,k-1) + [A113084³](n-1,k). A113090

Numbers k such that 2·10^k + 5·R_k + 2 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A99006

Number of strings of numbers x(i=1..6) in 0..n with sum i²*x(i)² equal to n²*36. A184244

Triangle T, read by rows, that satisfies the recurrence: T(n,k) = [T³](n-1,k-1) + [T³](n-1,k) for n>k>=0, with T(n,n)=1 for n>=0, where T³ is the matrix third power of T. A113084

a(n) is the number k such that A383653(n)⁴ is the sum of squares of k consecutive integers. A383654

Gaussian binomial coefficients [ n,7 ] for q = 4. A22206

It is known that 4472988326827347533 is a quadratic non-residue for all primes between 3 and 283; sequence gives 4472988326827347533 mod prime(n). A108692