220352100 has 72 divisors (see below), whose sum is σ = 639438240. Its totient is φ = 58586880.

The previous prime is 220352053. The next prime is 220352117. The reversal of 220352100 is 1253022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220352100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124824 + ... + 126576.

Almost surely, 2^220352100 is an apocalyptic number.

220352100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319719120).

220352100 is an abundant number, since it is smaller than the sum of its proper divisors (419086140).

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

220352100 is a wasteful number, since it uses less digits than its factorization.

220352100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 220352100 is about 14844.2615175023. The cubic root of 220352100 is about 604.0029567272.

The spelling of 220352100 in words is "two hundred twenty million, three hundred fifty-two thousand, one hundred".