225355312 has 60 divisors (see below), whose sum is σ = 547006656. Its totient is φ = 89147520.

The previous prime is 225355309. The next prime is 225355313. The reversal of 225355312 is 213553522.

225355312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (225355313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 864 + ... + 21247.

Almost surely, 2^225355312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225355312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273503328).

225355312 is an abundant number, since it is smaller than the sum of its proper divisors (321651344).

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

225355312 is a wasteful number, since it uses less digits than its factorization.

225355312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22146 (or 22133 counting only the distinct ones).

The product of its digits is 9000, while the sum is 28.

The square root of 225355312 is about 15011.8390612210. The cubic root of 225355312 is about 608.5401910812.

The spelling of 225355312 in words is "two hundred twenty-five million, three hundred fifty-five thousand, three hundred twelve".