220628125 has 24 divisors (see below), whose sum is σ = 292059432. Its totient is φ = 166080000.

The previous prime is 220628123. The next prime is 220628129. The reversal of 220628125 is 521826022.

It can be written as a sum of positive squares in 12 ways, for example, as 215561124 + 5067001 = 14682^2 + 2251^2 .

It is not a de Polignac number, because 220628125 - 2¹ = 220628123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220628093 and 220628102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220628123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51049 + ... + 55201.

It is an arithmetic number, because the mean of its divisors is an integer number (12169143).

Almost surely, 2^220628125 is an apocalyptic number.

220628125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

220628125 is a deficient number, since it is larger than the sum of its proper divisors (71431307).

220628125 is an frugal number, since it uses more digits than its factorization.

220628125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 220628125 is about 14853.5559715511. Note that the first 3 decimals coincide. The cubic root of 220628125 is about 604.2550537882.

The spelling of 220628125 in words is "two hundred twenty million, six hundred twenty-eight thousand, one hundred twenty-five".