220164128 has 54 divisors (see below), whose sum is σ = 451156797. Its totient is φ = 105759360.

The previous prime is 220164107. The next prime is 220164169. The reversal of 220164128 is 821461022.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 149132944 + 71031184 = 12212^2 + 8428^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10492.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220164097 and 220164106.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3609218 + ... + 3609278.

Almost surely, 2^220164128 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 220164128

220164128 is an abundant number, since it is smaller than the sum of its proper divisors (230992669).

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

220164128 is an frugal number, since it uses more digits than its factorization.

220164128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 220164128 is about 14837.9286964185. The cubic root of 220164128 is about 603.8311590406.

The spelling of 220164128 in words is "two hundred twenty million, one hundred sixty-four thousand, one hundred twenty-eight".