225792096 has 96 divisors (see below), whose sum is σ = 647958528. Its totient is φ = 68536320.

The previous prime is 225792071. The next prime is 225792169. The reversal of 225792096 is 690297522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 48361 + ... + 52823.

It is an arithmetic number, because the mean of its divisors is an integer number (6749568).

Almost surely, 2^225792096 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 225792096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323979264).

225792096 is an abundant number, since it is smaller than the sum of its proper divisors (422166432).

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

225792096 is a wasteful number, since it uses less digits than its factorization.

225792096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 225792096 is about 15026.3800031811. The cubic root of 225792096 is about 608.9330951816.

The spelling of 225792096 in words is "two hundred twenty-five million, seven hundred ninety-two thousand, ninety-six".