Properties of the Number 22419

Twenty-Two Thousand Four Hundred Nineteen

Basics

Value: 22418 → 22419 → 22420

Parity: odd

Prime: No

Previous Prime: 22409

Next Prime: 22433

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 47 × 53

Divisors: 1, 3, 9, 47, 53, 141, 159, 423, 477, 2491

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011110010011

Octal: 53623

Duodecimal: 10B83

Hexadecimal: 5793

Square: 502611561

Square Root: 149.72975656161336

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) = ∑_k=1..n-1 k*σ(k)*σ(n-k). A441

Write fundamental unit for real quadratic field of discriminant n as x + y*ω; sequence gives values of y for n == 3 mod 4. A53375

Let p = n-th prime of the form 4k+3, take the solution (x,y) to the Pellian equation x² - p·y² = 1 with·and smallest y >= 1; sequence gives value of y. A82394

a(n) is smallest natural number a satisfying Pell equation b²- d(n)*a²= +1 or = -1, with d(n)=A000037(n) (nonsquare). Corresponding smallest b(n)=A077232(n). A77233

Numbers that yield a prime when prime(k+2) is inserted after the k-th digit (or prime(1) = 2 before the 1st digit for k=0), for 0 <= k <= number of digits. A304243

Let p = n-th prime, take smallest solution (x,y) to the Pellian equation x² - p·y² = 1 with·and y >= 1; sequence gives value of y. A81234

The positive odd fundamental solutions y = y0(n) for the Pell equation x² - d·y² = +1. It turns out that d = d(n) coincides with A007970(n). A262026

Expansion of e.g.f. exp( 1 - 1/(1-3·x)^1/3 ). A380309

y values corresponding to the·values in A023677. A23678

Denominators of continued fraction convergents to sqrt(103). A41185