220533132900 has 144 divisors (see below), whose sum is σ = 654162380928. Its totient is φ = 57328512000.

The previous prime is 220533132803. The next prime is 220533132907. The reversal of 220533132900 is 9231335022.

220533132900 is digitally balanced in base 7, 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 (30).

It is not an unprimeable number, because it can be changed into a prime (220533132907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16979809 + ... + 16992791.

It is an arithmetic number, because the mean of its divisors is an integer number (4542794312).

Almost surely, 2^220533132900 is an apocalyptic number.

220533132900 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 220533132900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327081190464).

220533132900 is an abundant number, since it is smaller than the sum of its proper divisors (433629248028).

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

220533132900 is a wasteful number, since it uses less digits than its factorization.

220533132900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14422 (or 14415 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 220533132900 its reverse (9231335022), we get a palindrome (229764467922).

The spelling of 220533132900 in words is "two hundred twenty billion, five hundred thirty-three million, one hundred thirty-two thousand, nine hundred".