220082128 has 30 divisors (see below), whose sum is σ = 496028706. Its totient is φ = 94320576.

The previous prime is 220082087. The next prime is 220082167. The reversal of 220082128 is 821280022.

It can be written as a sum of positive squares in only one way, i.e., 185177664 + 34904464 = 13608^2 + 5908^2 .

It is a super-2 number, since 2×220082128² = 96872286130016768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139575 + ... + 141142.

Almost surely, 2^220082128 is an apocalyptic number.

220082128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

220082128 is an abundant number, since it is smaller than the sum of its proper divisors (275946578).

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

220082128 is a wasteful number, since it uses less digits than its factorization.

220082128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280739 (or 280726 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 220082128 is about 14835.1652501750. The cubic root of 220082128 is about 603.7561842117.

The spelling of 220082128 in words is "two hundred twenty million, eighty-two thousand, one hundred twenty-eight".