225556992 has 120 divisors (see below), whose sum is σ = 672397440. Its totient is φ = 72714240.

The previous prime is 225556987. The next prime is 225556997. The reversal of 225556992 is 299655522.

225556992 is a `hidden beast` number, since 2 + 2 + 5 + 556 + 9 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (225556987) and next prime (225556997).

It is not an unprimeable number, because it can be changed into a prime (225556997) 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, 142059 + ... + 143637.

It is an arithmetic number, because the mean of its divisors is an integer number (5603312).

Almost surely, 2^225556992 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 225556992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336198720).

225556992 is an abundant number, since it is smaller than the sum of its proper divisors (446840448).

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

225556992 is a wasteful number, since it uses less digits than its factorization.

225556992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1615 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 225556992 is about 15018.5549238267. The cubic root of 225556992 is about 608.7216730716.

The spelling of 225556992 in words is "two hundred twenty-five million, five hundred fifty-six thousand, nine hundred ninety-two".