225292500 has 360 divisors, whose sum is σ = 818737920. Its totient is φ = 51840000.

The previous prime is 225292471. The next prime is 225292511. The reversal of 225292500 is 5292522.

225292500 is a `hidden beast` number, since 22 + 52 + 92 + 500 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7267485 + ... + 7267515.

It is an arithmetic number, because the mean of its divisors is an integer number (2274272).

Almost surely, 2^225292500 is an apocalyptic number.

225292500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225292500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409368960).

225292500 is an abundant number, since it is smaller than the sum of its proper divisors (593445420).

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

225292500 is a wasteful number, since it uses less digits than its factorization.

225292500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 225292500 is about 15009.7468333080. The cubic root of 225292500 is about 608.4836475160.

The spelling of 225292500 in words is "two hundred twenty-five million, two hundred ninety-two thousand, five hundred".