225085392 has 200 divisors, whose sum is σ = 763163456. Its totient is φ = 62705664.

The previous prime is 225085369. The next prime is 225085403. The reversal of 225085392 is 293580522.

225085392 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 389808 + ... + 390384.

Almost surely, 2^225085392 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 225085392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381581728).

225085392 is an abundant number, since it is smaller than the sum of its proper divisors (538078064).

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

225085392 is a wasteful number, since it uses less digits than its factorization.

225085392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 225085392 is about 15002.8461299848. The cubic root of 225085392 is about 608.2971337355.

The spelling of 225085392 in words is "two hundred twenty-five million, eighty-five thousand, three hundred ninety-two".