225862032 has 80 divisors (see below), whose sum is σ = 657100800. Its totient is φ = 66230400.

The previous prime is 225862019. The next prime is 225862037. The reversal of 225862032 is 230268522.

It is not an unprimeable number, because it can be changed into a prime (225862037) 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 15 ways as a sum of consecutive naturals, for example, 9469 + ... + 23267.

It is an arithmetic number, because the mean of its divisors is an integer number (8213760).

Almost surely, 2^225862032 is an apocalyptic number.

225862032 is a gapful number since it is divisible by the number (22) 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 225862032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328550400).

225862032 is an abundant number, since it is smaller than the sum of its proper divisors (431238768).

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

225862032 is a wasteful number, since it uses less digits than its factorization.

225862032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13852 (or 13846 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 225862032 is about 15028.7069304049. The cubic root of 225862032 is about 608.9959582455.

The spelling of 225862032 in words is "two hundred twenty-five million, eight hundred sixty-two thousand, thirty-two".