225293860 has 96 divisors (see below), whose sum is σ = 556295040. Its totient is φ = 75724800.

The previous prime is 225293839. The next prime is 225293867. The reversal of 225293860 is 68392522.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (225293867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220150 + ... + 221170.

It is an arithmetic number, because the mean of its divisors is an integer number (5794740).

Almost surely, 2^225293860 is an apocalyptic number.

225293860 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 225293860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278147520).

225293860 is an abundant number, since it is smaller than the sum of its proper divisors (331001180).

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

225293860 is a wasteful number, since it uses less digits than its factorization.

225293860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 225293860 is about 15009.7921371350. The cubic root of 225293860 is about 608.4848719037.

The spelling of 225293860 in words is "two hundred twenty-five million, two hundred ninety-three thousand, eight hundred sixty".