225182016 has 84 divisors (see below), whose sum is σ = 666317184. Its totient is φ = 72633600.

The previous prime is 225182011. The next prime is 225182033. The reversal of 225182016 is 610281522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225182011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11551 + ... + 24161.

Almost surely, 2^225182016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333158592).

225182016 is an abundant number, since it is smaller than the sum of its proper divisors (441135168).

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

225182016 is a wasteful number, since it uses less digits than its factorization.

225182016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12660 (or 12647 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 225182016 is about 15006.0659734655. The cubic root of 225182016 is about 608.3841639559.

The spelling of 225182016 in words is "two hundred twenty-five million, one hundred eighty-two thousand, sixteen".