225658116 has 96 divisors (see below), whose sum is σ = 606480000. Its totient is φ = 72503424.

The previous prime is 225658099. The next prime is 225658123. The reversal of 225658116 is 611856522.

225658116 is a `hidden beast` number, since 2 + 2 + 565 + 81 + 16 = 666.

225658116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 595215 + ... + 595593.

It is an arithmetic number, because the mean of its divisors is an integer number (6317500).

Almost surely, 2^225658116 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 225658116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303240000).

225658116 is an abundant number, since it is smaller than the sum of its proper divisors (380821884).

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

225658116 is a wasteful number, since it uses less digits than its factorization.

225658116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 570 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 225658116 is about 15021.9211820592. The cubic root of 225658116 is about 608.8126289065.

The spelling of 225658116 in words is "two hundred twenty-five million, six hundred fifty-eight thousand, one hundred sixteen".