225549792 has 192 divisors, whose sum is σ = 726485760. Its totient is φ = 67640832.

The previous prime is 225549787. The next prime is 225549827. The reversal of 225549792 is 297945522.

225549792 is a `hidden beast` number, since 2 + 2 + 554 + 9 + 7 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482743 + ... + 483209.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2^225549792 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 225549792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363242880).

225549792 is an abundant number, since it is smaller than the sum of its proper divisors (500935968).

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

225549792 is a wasteful number, since it uses less digits than its factorization.

225549792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 528 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 225549792 is about 15018.3152184258. The cubic root of 225549792 is about 608.7151960054.

The spelling of 225549792 in words is "two hundred twenty-five million, five hundred forty-nine thousand, seven hundred ninety-two".