225524416 has 84 divisors (see below), whose sum is σ = 502005600. Its totient is φ = 100359168.

The previous prime is 225524413. The next prime is 225524417. The reversal of 225524416 is 614425522.

It is a super-2 number, since 2×225524416² = 101722524424282112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225524413) 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 11 ways as a sum of consecutive naturals, for example, 313305 + ... + 314023.

Almost surely, 2^225524416 is an apocalyptic number.

225524416 is a gapful number since it is divisible by the number (26) 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 225524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251002800).

225524416 is an abundant number, since it is smaller than the sum of its proper divisors (276481184).

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

225524416 is a wasteful number, since it uses less digits than its factorization.

225524416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 763 counting only the distinct ones).

The product of its digits is 19200, while the sum is 31.

The square root of 225524416 is about 15017.4703595512. The cubic root of 225524416 is about 608.6923668465.

Adding to 225524416 its reverse (614425522), we get a palindrome (839949938).

The spelling of 225524416 in words is "two hundred twenty-five million, five hundred twenty-four thousand, four hundred sixteen".