225189360 has 120 divisors (see below), whose sum is σ = 825040944. Its totient is φ = 54589440.

The previous prime is 225189359. The next prime is 225189373. The reversal of 225189360 is 63981522.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 6297 + ... + 22136.

Almost surely, 2^225189360 is an apocalyptic number.

225189360 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 225189360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412520472).

225189360 is an abundant number, since it is smaller than the sum of its proper divisors (599851584).

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

225189360 is a wasteful number, since it uses less digits than its factorization.

225189360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28463 (or 28454 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 225189360 is about 15006.3106725137. The cubic root of 225189360 is about 608.3907777534.

It can be divided in two parts, 22518 and 9360, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 225189360 in words is "two hundred twenty-five million, one hundred eighty-nine thousand, three hundred sixty".