225264128 has 20 divisors (see below), whose sum is σ = 450089310. Its totient is φ = 112631808.

The previous prime is 225264121. The next prime is 225264157. The reversal of 225264128 is 821462522.

It can be written as a sum of positive squares in only one way, i.e., 119421184 + 105842944 = 10928^2 + 10288^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 225264094 and 225264103.

It is not an unprimeable number, because it can be changed into a prime (225264121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 219473 + ... + 220496.

Almost surely, 2^225264128 is an apocalyptic number.

It is an amenable number.

225264128 is a deficient number, since it is larger than the sum of its proper divisors (224825182).

225264128 is an frugal number, since it uses more digits than its factorization.

225264128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439987 (or 439971 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 225264128 is about 15008.8016843451. The cubic root of 225264128 is about 608.4581035042.

The spelling of 225264128 in words is "two hundred twenty-five million, two hundred sixty-four thousand, one hundred twenty-eight".