225585200 has 60 divisors (see below), whose sum is σ = 560685840. Its totient is φ = 87118080.

The previous prime is 225585193. The next prime is 225585203. The reversal of 225585200 is 2585522.

225585200 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 (29).

It is not an unprimeable number, because it can be changed into a prime (225585203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1877 + ... + 21323.

It is an arithmetic number, because the mean of its divisors is an integer number (9344764).

Almost surely, 2^225585200 is an apocalyptic number.

225585200 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 225585200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280342920).

225585200 is an abundant number, since it is smaller than the sum of its proper divisors (335100640).

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

225585200 is a wasteful number, since it uses less digits than its factorization.

225585200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19494 (or 19483 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 225585200 is about 15019.4939994662. The cubic root of 225585200 is about 608.7470474497.

The spelling of 225585200 in words is "two hundred twenty-five million, five hundred eighty-five thousand, two hundred".