225838860 has 96 divisors (see below), whose sum is σ = 686219520. Its totient is φ = 55164672.

The previous prime is 225838841. The next prime is 225838867. The reversal of 225838860 is 68838522.

It is a Smith number, since the sum of its digits (42) 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 (225838867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107379 + ... + 109461.

It is an arithmetic number, because the mean of its divisors is an integer number (7148120).

Almost surely, 2^225838860 is an apocalyptic number.

225838860 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 225838860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343109760).

225838860 is an abundant number, since it is smaller than the sum of its proper divisors (460380660).

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

225838860 is a wasteful number, since it uses less digits than its factorization.

225838860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 225838860 is about 15027.9359860228. The cubic root of 225838860 is about 608.9751311697.

The spelling of 225838860 in words is "two hundred twenty-five million, eight hundred thirty-eight thousand, eight hundred sixty".