225850800 has 360 divisors, whose sum is σ = 883443456. Its totient is φ = 49082880.

The previous prime is 225850799. The next prime is 225850817. The reversal of 225850800 is 8058522.

225850800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1352317 + ... + 1352483.

Almost surely, 2^225850800 is an apocalyptic number.

225850800 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 225850800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441721728).

225850800 is an abundant number, since it is smaller than the sum of its proper divisors (657592656).

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

225850800 is a wasteful number, since it uses less digits than its factorization.

225850800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 225850800 is about 15028.3332409153. Note that the first 3 decimals coincide. The cubic root of 225850800 is about 608.9858630620.

The spelling of 225850800 in words is "two hundred twenty-five million, eight hundred fifty thousand, eight hundred".