220382316 has 96 divisors (see below), whose sum is σ = 712373760. Its totient is φ = 57240000.

The previous prime is 220382231. The next prime is 220382329. The reversal of 220382316 is 613283022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 220382316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4935 + ... + 21566.

It is an arithmetic number, because the mean of its divisors is an integer number (7420560).

Almost surely, 2^220382316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220382316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356186880).

220382316 is an abundant number, since it is smaller than the sum of its proper divisors (491991444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220382316 is a wasteful number, since it uses less digits than its factorization.

220382316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26532 (or 26524 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 220382316 is about 14845.2792496470. The cubic root of 220382316 is about 604.0305636333.

The spelling of 220382316 in words is "two hundred twenty million, three hundred eighty-two thousand, three hundred sixteen".