225174096 has 120 divisors (see below), whose sum is σ = 745130880. Its totient is φ = 62108928.

The previous prime is 225174077. The next prime is 225174109. The reversal of 225174096 is 690471522.

225174096 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 self number, because there is not a number n which added to its sum of digits gives 225174096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25381 + ... + 33083.

It is an arithmetic number, because the mean of its divisors is an integer number (6209424).

Almost surely, 2^225174096 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 225174096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372565440).

225174096 is an abundant number, since it is smaller than the sum of its proper divisors (519956784).

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

225174096 is a wasteful number, since it uses less digits than its factorization.

225174096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7753 (or 7744 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 225174096 is about 15005.8020778631. The cubic root of 225174096 is about 608.3770312681.

The spelling of 225174096 in words is "two hundred twenty-five million, one hundred seventy-four thousand, ninety-six".