Properties of the Number 4220

Four Thousand Two Hundred Twenty

Basics

Value: 4219 → 4220 → 4221

Parity: even

Prime: No

Previous Prime: 4219

Next Prime: 4229

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 × 211

Divisors: 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000001111100

Octal: 10174

Duodecimal: 2538

Hexadecimal: 107c

Square: 17808400

Square Root: 64.96152707564686

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

Number of partitions of n in which each part, with the possible exception of the largest, occurs at least three times. A116932

Numbers k that, when expressed in base 4 and then interpreted in base 7, give a multiple of k. A62922

Maximum number of regions into which the plane is divided by n triangles. A77588

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. A283726

Irregular triangular array read by rows. T(n,k) is the number of ordered set partitions of [n] with exactly k descents, n>=0, 0<=k<=binomial(n,2). A381299

Nonsquarefree numbers appearing exactly twice in A377783 (least nonsquarefree number > prime(n)). A378083

Positions of 12 after decimal point in decimal expansion of π. A134212

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..2 introduced in row major order. A205590

Expansion of ∏_m>=1 (1+q^m)^-3. A22598

McKay-Thompson series of class 32a for the Monster group. A107635