225189888 has 336 divisors, whose sum is σ = 806829984. Its totient is φ = 55050240.

The previous prime is 225189851. The next prime is 225189893. The reversal of 225189888 is 888981522.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (737280) is a multiple of the sum of its prime divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 225189888.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13246456 + ... + 13246472.

Almost surely, 2^225189888 is an apocalyptic number.

225189888 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 225189888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403414992).

225189888 is an abundant number, since it is smaller than the sum of its proper divisors (581640096).

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

225189888 is a wasteful number, since it uses less digits than its factorization.

225189888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its digits is 737280, while the sum is 51.

The square root of 225189888 is about 15006.3282651020. The cubic root of 225189888 is about 608.3912532496.

The spelling of 225189888 in words is "two hundred twenty-five million, one hundred eighty-nine thousand, eight hundred eighty-eight".