220442125 has 16 divisors (see below), whose sum is σ = 275526576. Its totient is φ = 176088000.

The previous prime is 220442119. The next prime is 220442191. The reversal of 220442125 is 521244022.

220442125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 59938564 + 160503561 = 7742^2 + 12669^2 .

It is not a de Polignac number, because 220442125 - 2⁵ = 220442093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220442096 and 220442105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158935 + ... + 160315.

It is an arithmetic number, because the mean of its divisors is an integer number (17220411).

Almost surely, 2^220442125 is an apocalyptic number.

220442125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

220442125 is a deficient number, since it is larger than the sum of its proper divisors (55084451).

220442125 is a wasteful number, since it uses less digits than its factorization.

220442125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 220442125 is about 14847.2935244104. The cubic root of 220442125 is about 604.0852008005.

Adding to 220442125 its reverse (521244022), we get a palindrome (741686147).

The spelling of 220442125 in words is "two hundred twenty million, four hundred forty-two thousand, one hundred twenty-five".