225628300 has 36 divisors (see below), whose sum is σ = 492218496. Its totient is φ = 89771200.

The previous prime is 225628283. The next prime is 225628313. The reversal of 225628300 is 3826522.

225628300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 13194 + ... + 25006.

It is an arithmetic number, because the mean of its divisors is an integer number (13672736).

Almost surely, 2^225628300 is an apocalyptic number.

225628300 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 225628300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246109248).

225628300 is an abundant number, since it is smaller than the sum of its proper divisors (266590196).

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

225628300 is a wasteful number, since it uses less digits than its factorization.

225628300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12018 (or 12011 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 225628300 is about 15020.9287329379. The cubic root of 225628300 is about 608.7858137739.

The spelling of 225628300 in words is "two hundred twenty-five million, six hundred twenty-eight thousand, three hundred".