220972632 has 32 divisors (see below), whose sum is σ = 552868800. Its totient is φ = 73599264.

The previous prime is 220972627. The next prime is 220972637. The reversal of 220972632 is 236279022.

220972632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220972627) and next prime (220972637).

It is a junction number, because it is equal to n+sod(n) for n = 220972593 and 220972602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220972637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36219 + ... + 41877.

It is an arithmetic number, because the mean of its divisors is an integer number (17277150).

Almost surely, 2^220972632 is an apocalyptic number.

It is an amenable number.

220972632 is an abundant number, since it is smaller than the sum of its proper divisors (331896168).

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

220972632 is a wasteful number, since it uses less digits than its factorization.

220972632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7295 (or 7291 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 220972632 is about 14865.1482333679. The cubic root of 220972632 is about 604.5694014994.

The spelling of 220972632 in words is "two hundred twenty million, nine hundred seventy-two thousand, six hundred thirty-two".