225995616 has 384 divisors, whose sum is σ = 851558400. Its totient is φ = 56609280.

The previous prime is 225995591. The next prime is 225995617. The reversal of 225995616 is 616599522.

It is a happy number.

225995616 is a `hidden beast` number, since 2 + 2 + 599 + 56 + 1 + 6 = 666.

225995616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225995617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2860665 + ... + 2860743.

It is an arithmetic number, because the mean of its divisors is an integer number (2217600).

Almost surely, 2^225995616 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 225995616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425779200).

225995616 is an abundant number, since it is smaller than the sum of its proper divisors (625562784).

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

225995616 is a wasteful number, since it uses less digits than its factorization.

225995616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 225995616 is about 15033.1505679947. The cubic root of 225995616 is about 609.1159962503.

The spelling of 225995616 in words is "two hundred twenty-five million, nine hundred ninety-five thousand, six hundred sixteen".