220332407000 has 128 divisors (see below), whose sum is σ = 533511014400. Its totient is φ = 85081392000.

The previous prime is 220332406999. The next prime is 220332407039. The reversal of 220332407000 is 704233022.

220332407000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12980519 + ... + 12997481.

It is an arithmetic number, because the mean of its divisors is an integer number (4168054800).

Almost surely, 2^220332407000 is an apocalyptic number.

220332407000 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 220332407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266755507200).

220332407000 is an abundant number, since it is smaller than the sum of its proper divisors (313178607400).

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

220332407000 is a wasteful number, since it uses less digits than its factorization.

220332407000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17434 (or 17420 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The spelling of 220332407000 in words is "two hundred twenty billion, three hundred thirty-two million, four hundred seven thousand".