220152128 has 56 divisors (see below), whose sum is σ = 507796800. Its totient is φ = 92740608.

The previous prime is 220152103. The next prime is 220152157. The reversal of 220152128 is 821251022.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22268 + ... + 30596.

It is an arithmetic number, because the mean of its divisors is an integer number (9067800).

Almost surely, 2^220152128 is an apocalyptic number.

220152128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220152128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253898400).

220152128 is an abundant number, since it is smaller than the sum of its proper divisors (287644672).

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

220152128 is an equidigital number, since it uses as much as digits as its factorization.

220152128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407 (or 8397 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 220152128 is about 14837.5243217998. The cubic root of 220152128 is about 603.8201882773.

The spelling of 220152128 in words is "two hundred twenty million, one hundred fifty-two thousand, one hundred twenty-eight".