225892992 has 128 divisors (see below), whose sum is σ = 664191360. Its totient is φ = 67571712.

The previous prime is 225892987. The next prime is 225892999. The reversal of 225892992 is 299298522.

225892992 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (225892999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184093 + ... + 185315.

It is an arithmetic number, because the mean of its divisors is an integer number (5188995).

Almost surely, 2^225892992 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 225892992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332095680).

225892992 is an abundant number, since it is smaller than the sum of its proper divisors (438298368).

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

225892992 is a wasteful number, since it uses less digits than its factorization.

225892992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1278 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 225892992 is about 15029.7369238453. The cubic root of 225892992 is about 609.0237829803.

The spelling of 225892992 in words is "two hundred twenty-five million, eight hundred ninety-two thousand, nine hundred ninety-two".