220077172 has 96 divisors (see below), whose sum is σ = 489888000. Its totient is φ = 84338688.

The previous prime is 220077163. The next prime is 220077227. The reversal of 220077172 is 271770022.

220077172 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 (28).

It is a self number, because there is not a number n which added to its sum of digits gives 220077172.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1476954 + ... + 1477102.

It is an arithmetic number, because the mean of its divisors is an integer number (5103000).

Almost surely, 2^220077172 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 220077172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244944000).

220077172 is an abundant number, since it is smaller than the sum of its proper divisors (269810828).

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

220077172 is a wasteful number, since it uses less digits than its factorization.

220077172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 220077172 is about 14834.9982136837. The cubic root of 220077172 is about 603.7516522094.

The spelling of 220077172 in words is "two hundred twenty million, seventy-seven thousand, one hundred seventy-two".