220198144 has 72 divisors (see below), whose sum is σ = 490069440. Its totient is φ = 98131968.

The previous prime is 220198117. The next prime is 220198157. The reversal of 220198144 is 441891022.

220198144 is digitally balanced in base 2, 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 7 ways as a sum of consecutive naturals, for example, 81357 + ... + 84019.

It is an arithmetic number, because the mean of its divisors is an integer number (6806520).

Almost surely, 2^220198144 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 220198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245034720).

220198144 is an abundant number, since it is smaller than the sum of its proper divisors (269871296).

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

220198144 is a wasteful number, since it uses less digits than its factorization.

220198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 220198144 is about 14839.0749037802. The cubic root of 220198144 is about 603.8622553310.

The spelling of 220198144 in words is "two hundred twenty million, one hundred ninety-eight thousand, one hundred forty-four".