225187200 has 288 divisors, whose sum is σ = 919130160. Its totient is φ = 51425280.

The previous prime is 225187169. The next prime is 225187213. The reversal of 225187200 is 2781522.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201042 + ... + 202158.

Almost surely, 2^225187200 is an apocalyptic number.

225187200 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 225187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459565080).

225187200 is an abundant number, since it is smaller than the sum of its proper divisors (693942960).

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

225187200 is a wasteful number, since it uses less digits than its factorization.

225187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 225187200 is about 15006.2387026197. The cubic root of 225187200 is about 608.3888325338.

The spelling of 225187200 in words is "two hundred twenty-five million, one hundred eighty-seven thousand, two hundred".