225123888 has 120 divisors (see below), whose sum is σ = 648333504. Its totient is φ = 67253120.

The previous prime is 225123887. The next prime is 225123919. The reversal of 225123888 is 888321522.

It is a happy number.

225123888 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225123887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481831 + ... + 482297.

Almost surely, 2^225123888 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 225123888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324166752).

225123888 is an abundant number, since it is smaller than the sum of its proper divisors (423209616).

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

225123888 is a wasteful number, since it uses less digits than its factorization.

225123888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 566 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 225123888 is about 15004.1290317032. The cubic root of 225123888 is about 608.3318104589.

The spelling of 225123888 in words is "two hundred twenty-five million, one hundred twenty-three thousand, eight hundred eighty-eight".