225324990 has 200 divisors, whose sum is σ = 701533800. Its totient is φ = 51749280.

The previous prime is 225324989. The next prime is 225325013. The reversal of 225324990 is 99423522.

It is a super-2 number, since 2×225324990² = 101542702237000200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 11859201 + ... + 11859219.

It is an arithmetic number, because the mean of its divisors is an integer number (3507669).

Almost surely, 2^225324990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225324990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350766900).

225324990 is an abundant number, since it is smaller than the sum of its proper divisors (476208810).

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

225324990 is an equidigital number, since it uses as much as digits as its factorization.

225324990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 225324990 is about 15010.8290910263. The cubic root of 225324990 is about 608.5128964308.

The spelling of 225324990 in words is "two hundred twenty-five million, three hundred twenty-four thousand, nine hundred ninety".