225185500 has 48 divisors (see below), whose sum is σ = 496982304. Its totient is φ = 89126400.

The previous prime is 225185497. The next prime is 225185531. The reversal of 225185500 is 5581522.

225185500 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

225185500 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46179 + ... + 50821.

It is an arithmetic number, because the mean of its divisors is an integer number (10353798).

Almost surely, 2^225185500 is an apocalyptic number.

225185500 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 225185500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248491152).

225185500 is an abundant number, since it is smaller than the sum of its proper divisors (271796804).

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

225185500 is a wasteful number, since it uses less digits than its factorization.

225185500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4759 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 225185500 is about 15006.1820594047. The cubic root of 225185500 is about 608.3873015652.

The spelling of 225185500 in words is "two hundred twenty-five million, one hundred eighty-five thousand, five hundred".