220442004 has 72 divisors (see below), whose sum is σ = 576296448. Its totient is φ = 70994880.

The previous prime is 220441981. The next prime is 220442017. The reversal of 220442004 is 400244022.

220442004 is a `hidden beast` number, since 220 + 442 + 0 + 0 + 4 = 666.

220442004 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221949 + ... + 222939.

Almost surely, 2^220442004 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 220442004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288148224).

220442004 is an abundant number, since it is smaller than the sum of its proper divisors (355854444).

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

220442004 is a wasteful number, since it uses less digits than its factorization.

220442004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 220442004 is about 14847.2894495931. The cubic root of 220442004 is about 604.0850902737.

Adding to 220442004 its reverse (400244022), we get a palindrome (620686026).

The spelling of 220442004 in words is "two hundred twenty million, four hundred forty-two thousand, four".