220552332 has 288 divisors, whose sum is σ = 731453184. Its totient is φ = 50803200.

The previous prime is 220552253. The next prime is 220552349. The reversal of 220552332 is 233255022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3615582 + ... + 3615642.

It is an arithmetic number, because the mean of its divisors is an integer number (2539768).

Almost surely, 2^220552332 is an apocalyptic number.

220552332 is a gapful number since it is divisible by the number (22) 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 220552332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365726592).

220552332 is an abundant number, since it is smaller than the sum of its proper divisors (510900852).

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

220552332 is a wasteful number, since it uses less digits than its factorization.

220552332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 220552332 is about 14851.0044104768. The cubic root of 220552332 is about 604.1858520508.

The spelling of 220552332 in words is "two hundred twenty million, five hundred fifty-two thousand, three hundred thirty-two".