225302800 has 60 divisors (see below), whose sum is σ = 553920400. Its totient is φ = 88018560.

The previous prime is 225302797. The next prime is 225302801. The reversal of 225302800 is 8203522.

225302800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225302800² = 101522703375680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225302801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10651 + ... + 23749.

Almost surely, 2^225302800 is an apocalyptic number.

225302800 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 225302800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276960200).

225302800 is an abundant number, since it is smaller than the sum of its proper divisors (328617600).

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

225302800 is a wasteful number, since it uses less digits than its factorization.

225302800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13160 (or 13149 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 225302800 is about 15010.0899397705. The cubic root of 225302800 is about 608.4929203296.

The spelling of 225302800 in words is "two hundred twenty-five million, three hundred two thousand, eight hundred".