225054792 has 96 divisors (see below), whose sum is σ = 640224000. Its totient is φ = 71326080.

The previous prime is 225054773. The next prime is 225054799. The reversal of 225054792 is 297450522.

It is a happy number.

225054792 is a `hidden beast` number, since 2 + 25 + 0 + 547 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225054799) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130834 + ... + 132542.

It is an arithmetic number, because the mean of its divisors is an integer number (6669000).

Almost surely, 2^225054792 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 225054792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320112000).

225054792 is an abundant number, since it is smaller than the sum of its proper divisors (415169208).

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

225054792 is a wasteful number, since it uses less digits than its factorization.

225054792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 225054792 is about 15001.8262888223. The cubic root of 225054792 is about 608.2695668113.

The spelling of 225054792 in words is "two hundred twenty-five million, fifty-four thousand, seven hundred ninety-two".