225194688 has 140 divisors (see below), whose sum is σ = 698809880. Its totient is φ = 71114112.

The previous prime is 225194639. The next prime is 225194701. The reversal of 225194688 is 886491522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 225194688 = 76³ + 608³ = 342³ + 570³.

Its product of digits (276480) is a multiple of the sum of its prime divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11852343 + ... + 11852361.

Almost surely, 2^225194688 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 225194688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349404940).

225194688 is an abundant number, since it is smaller than the sum of its proper divisors (473615192).

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

225194688 is an frugal number, since it uses more digits than its factorization.

225194688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 24 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 225194688 is about 15006.4881967768. The cubic root of 225194688 is about 608.3955759086.

The spelling of 225194688 in words is "two hundred twenty-five million, one hundred ninety-four thousand, six hundred eighty-eight".