217220

217220 is a natural number that comes after 217219 and before 217221. In mathematics, it is notable for being an even, composite number with a nontrivial prime factorization. Its prime factorization is 2^2 × 5 × 10861, where 10861 is a prime number.

The positive divisors of 217220 are 1, 2, 4, 5, 10, 20, 10861, 21722, 43444, 54305, 108610, and 217220, giving a total of 12 divisors.

Summing all divisors yields sigma(217220) = 7 × 6 × 10862 = 456204. Since sigma(n) > 2n (456204 > 434440), the number is abundant; the abundance is 21764.

217220 is divisible by 20, since it ends with 20 and by 4 through its last two digits. Specifically, 217220 ÷ 20 = 10861, which is prime.

As a decimal integer, 217220 has a digit sum of 2+1+7+2+2+0 = 14, so it is not a Harshad number in base 10 (it is not divisible by the sum of its digits).

Aside from its arithmetic properties, 217220 does not correspond to a widely recognized object or concept in common reference sources. It is primarily notable within number theory for its factorization and related divisor properties. See also abundant numbers, divisor function, and prime factorization.