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Properties of the Number 10220

Ten Thousand Two Hundred Twenty

Basics

Value: 10219 → 10220 → 10221

Parity: even

Prime: No

Previous Prime: 10211

Next Prime: 10223

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 2 2 × 5 × 7 × 73

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10011111101100

Octal: 23754

Duodecimal: 5AB8

Hexadecimal: 27ec

Square: 104448400

Square Root: 101.09401564880089

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) = n*(13·n - 9)/2. A226488
Number of integer compositions of n that are not the first sums of any finite nonnegative sequence. A391645
Multiples of 5 with digit sum 5. A69540
Composites whose sum of digits equals number of its prime factors, with multiplicity. A50689
E.g.f.: A(x,y) = (cosh(x)*cosh(y) + sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where A(x,y) = ∑n>=0 ∑k>=0 T(n,k) * xn*yk/(n+k)!, as a square table of coefficients T(n,k) read by antidiagonals. A322620
Partial sums of A053295. A53296
Triangle read by rows: T(0,0)=1; for n >= 1 T(n,k) is the coefficient of xk in the monic characteristic polynomial of the tridiagonal n X n matrix with main diagonal 5,5,5,... and sub- and superdiagonals 1,1,1,... (0 <= k <= n). A123967
Smallest number of each digital type. A266946
a(n) is the maximal (or lazy) Pell representation of n using a ternary system of vectors. A352339
Numbers m such that the GCD of the x's that satisfy σ(x) = m is 4. A241649