225928200 has 48 divisors (see below), whose sum is σ = 700379280. Its totient is φ = 60247360.

The previous prime is 225928193. The next prime is 225928223. The reversal of 225928200 is 2829522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187674 + ... + 188873.

It is an arithmetic number, because the mean of its divisors is an integer number (14591235).

Almost surely, 2^225928200 is an apocalyptic number.

225928200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225928200 is an abundant number, since it is smaller than the sum of its proper divisors (474451080).

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

225928200 is a wasteful number, since it uses less digits than its factorization.

225928200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376566 (or 376557 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 225928200 is about 15030.9081561960. The cubic root of 225928200 is about 609.0554224382.

It can be divided in two parts, 225928 and 200, that added together give a triangular number (226128 = T₆₇₂).

The spelling of 225928200 in words is "two hundred twenty-five million, nine hundred twenty-eight thousand, two hundred".