Properties of the Number 22203

Twenty-Two Thousand Two Hundred Three

Basics

Value: 22202 → 22203 → 22204

Parity: odd

Prime: No

Previous Prime: 22193

Next Prime: 22229

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 2467

Divisors: 1, 3, 9, 2467, 7401, 22203

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011010111011

Octal: 53273

Duodecimal: 10A23

Hexadecimal: 56bb

Square: 492973209

Square Root: 149.00671125825173

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

Partial sums of A299283. A299284

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7. A252679

p² + 2 where p is a prime. A61725

a(n) = 16·a(n-1) - 61·a(n-2) for n > 1; a(0) = 3, a(1) = 27. A163474

Principal diagonal of the convolution array A213831. A213832

Expansion of f(-x, -x⁵)² / f(x, x³) in powers of·where f(, ) is Ramanujan's general θ function. A263041

Values of A038005 ending in 3. A38013

Numbers m such that numerator of ∑_k=1..m 1/(prime(k)-k) is prime. A92065

Irregular triangle read by rows. For each j, 1<=j<=n properly color the vertices of a labeled graph on [n] using each of the first j colors in the color set {c1<c2<...<cn}. Orient the edges according to the strict order on the colors. T(n,k) is the number of such directed graphs containing k descents, n>=0, 0<=k<=binomial(n,2). A381102

G.f.: x/sqrt(1 + x² - 2·x*sqrt(1 + 4·x²)). A201645