225088668 has 144 divisors (see below), whose sum is σ = 698181120. Its totient is φ = 59709312.

The previous prime is 225088663. The next prime is 225088679. The reversal of 225088668 is 866880522.

225088668 is a `hidden beast` number, since 2 + 2 + 508 + 86 + 68 = 666.

225088668 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 (225088663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253321 + ... + 254207.

It is an arithmetic number, because the mean of its divisors is an integer number (4848480).

Almost surely, 2^225088668 is an apocalyptic number.

225088668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225088668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349090560).

225088668 is an abundant number, since it is smaller than the sum of its proper divisors (473092452).

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

225088668 is a wasteful number, since it uses less digits than its factorization.

225088668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 225088668 is about 15002.9553088716. The cubic root of 225088668 is about 608.3000848699.

The spelling of 225088668 in words is "two hundred twenty-five million, eighty-eight thousand, six hundred sixty-eight".