225198288 has 120 divisors (see below), whose sum is σ = 725374208. Its totient is φ = 63887616.

The previous prime is 225198287. The next prime is 225198293. The reversal of 225198288 is 882891522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225198287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157545 + ... + 158967.

Almost surely, 2^225198288 is an apocalyptic number.

225198288 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 225198288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362687104).

225198288 is an abundant number, since it is smaller than the sum of its proper divisors (500175920).

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

225198288 is a wasteful number, since it uses less digits than its factorization.

225198288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1592 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 225198288 is about 15006.6081444142. The cubic root of 225198288 is about 608.3988178625.

The spelling of 225198288 in words is "two hundred twenty-five million, one hundred ninety-eight thousand, two hundred eighty-eight".