225489042 has 64 divisors (see below), whose sum is σ = 513976320. Its totient is φ = 73256400.

The previous prime is 225489031. The next prime is 225489049. The reversal of 225489042 is 240984522.

225489042 is a `hidden beast` number, since 22 + 548 + 90 + 4 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 225488988 and 225489006.

It is not an unprimeable number, because it can be changed into a prime (225489049) 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, 394617 + ... + 395187.

It is an arithmetic number, because the mean of its divisors is an integer number (8030880).

Almost surely, 2^225489042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225489042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256988160).

225489042 is an abundant number, since it is smaller than the sum of its proper divisors (288487278).

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

225489042 is a wasteful number, since it uses less digits than its factorization.

225489042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 225489042 is about 15016.2925517586. The cubic root of 225489042 is about 608.6605402709.

The spelling of 225489042 in words is "two hundred twenty-five million, four hundred eighty-nine thousand, forty-two".