225944200 has 96 divisors (see below), whose sum is σ = 568267200. Its totient is φ = 83255040.

The previous prime is 225944149. The next prime is 225944221. The reversal of 225944200 is 2449522.

225944200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139797 + ... + 141403.

It is an arithmetic number, because the mean of its divisors is an integer number (5919450).

Almost surely, 2^225944200 is an apocalyptic number.

225944200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

225944200 is the 8035-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225944200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284133600).

225944200 is an abundant number, since it is smaller than the sum of its proper divisors (342323000).

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

225944200 is a wasteful number, since it uses less digits than its factorization.

225944200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1670 counting only the distinct ones).

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

The square root of 225944200 is about 15031.4403834097. The cubic root of 225944200 is about 609.0697996559.

The spelling of 225944200 in words is "two hundred twenty-five million, nine hundred forty-four thousand, two hundred".