225115242 has 64 divisors (see below), whose sum is σ = 518012928. Its totient is φ = 64584000.

The previous prime is 225115229. The next prime is 225115259. The reversal of 225115242 is 242511522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94992 + ... + 97332.

It is an arithmetic number, because the mean of its divisors is an integer number (8093952).

Almost surely, 2^225115242 is an apocalyptic number.

225115242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225115242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259006464).

225115242 is an abundant number, since it is smaller than the sum of its proper divisors (292897686).

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

225115242 is a wasteful number, since it uses less digits than its factorization.

225115242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435.

The product of its digits is 1600, while the sum is 24.

The square root of 225115242 is about 15003.8409082475. The cubic root of 225115242 is about 608.3240225926.

Adding to 225115242 its reverse (242511522), we get a palindrome (467626764).

The spelling of 225115242 in words is "two hundred twenty-five million, one hundred fifteen thousand, two hundred forty-two".