220132000 has 96 divisors (see below), whose sum is σ = 590151744. Its totient is φ = 80032000.

The previous prime is 220131971. The next prime is 220132013. The reversal of 220132000 is 231022.

220132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41499 + ... + 46501.

It is an arithmetic number, because the mean of its divisors is an integer number (6147414).

Almost surely, 2^220132000 is an apocalyptic number.

220132000 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 220132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295075872).

220132000 is an abundant number, since it is smaller than the sum of its proper divisors (370019744).

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

220132000 is a wasteful number, since it uses less digits than its factorization.

220132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 220132000 is about 14836.8460260259. The cubic root of 220132000 is about 603.8017857553.

Adding to 220132000 its reverse (231022), we get a palindrome (220363022).

The spelling of 220132000 in words is "two hundred twenty million, one hundred thirty-two thousand".