220132304 has 60 divisors (see below), whose sum is σ = 504655200. Its totient is φ = 92723904.

The previous prime is 220132273. The next prime is 220132307. The reversal of 220132304 is 403231022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220132307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43877 + ... + 48635.

It is an arithmetic number, because the mean of its divisors is an integer number (8410920).

Almost surely, 2^220132304 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 220132304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252327600).

220132304 is an abundant number, since it is smaller than the sum of its proper divisors (284522896).

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

220132304 is a wasteful number, since it uses less digits than its factorization.

220132304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 220132304 is about 14836.8562707873. The cubic root of 220132304 is about 603.8020637032.

Adding to 220132304 its reverse (403231022), we get a palindrome (623363326).

The spelling of 220132304 in words is "two hundred twenty million, one hundred thirty-two thousand, three hundred four".