225340416 has 198 divisors, whose sum is σ = 758413500. Its totient is φ = 64253952.

The previous prime is 225340391. The next prime is 225340417. The reversal of 225340416 is 614043522.

225340416 is a `hidden beast` number, since 2 + 253 + 404 + 1 + 6 = 666.

It is a super-3 number, since 3×225340416³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225340416.

It is not an unprimeable number, because it can be changed into a prime (225340417) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451335 + ... + 451833.

Almost surely, 2^225340416 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 225340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379206750).

225340416 is an abundant number, since it is smaller than the sum of its proper divisors (533073084).

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

225340416 is a wasteful number, since it uses less digits than its factorization.

225340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 225340416 is about 15011.3429112788. The cubic root of 225340416 is about 608.5267826044.

Adding to 225340416 its reverse (614043522), we get a palindrome (839383938).

The spelling of 225340416 in words is "two hundred twenty-five million, three hundred forty thousand, four hundred sixteen".