220812032 has 108 divisors (see below), whose sum is σ = 531276480. Its totient is φ = 91219968.

The previous prime is 220812017. The next prime is 220812037. The reversal of 220812032 is 230218022.

It is a junction number, because it is equal to n+sod(n) for n = 220811995 and 220812013.

It is not an unprimeable number, because it can be changed into a prime (220812037) 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, 363473 + ... + 364079.

Almost surely, 2^220812032 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 220812032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265638240).

220812032 is an abundant number, since it is smaller than the sum of its proper divisors (310464448).

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

220812032 is an equidigital number, since it uses as much as digits as its factorization.

220812032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 220812032 is about 14859.7453544803. The cubic root of 220812032 is about 604.4229016415.

The spelling of 220812032 in words is "two hundred twenty million, eight hundred twelve thousand, thirty-two".