220133004 has 96 divisors (see below), whose sum is σ = 635980800. Its totient is φ = 57708288.

The previous prime is 220133003. The next prime is 220133027. The reversal of 220133004 is 400331022.

It is not an unprimeable number, because it can be changed into a prime (220133003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216802 + ... + 217814.

It is an arithmetic number, because the mean of its divisors is an integer number (6624800).

Almost surely, 2^220133004 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 220133004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317990400).

220133004 is an abundant number, since it is smaller than the sum of its proper divisors (415847796).

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

220133004 is a wasteful number, since it uses less digits than its factorization.

220133004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 220133004 is about 14836.8798606715. The cubic root of 220133004 is about 603.8027037137.

Adding to 220133004 its reverse (400331022), we get a palindrome (620464026).

The spelling of 220133004 in words is "two hundred twenty million, one hundred thirty-three thousand, four".