225298080 has 432 divisors, whose sum is σ = 932166144. Its totient is φ = 49351680.

The previous prime is 225298063. The next prime is 225298081. The reversal of 225298080 is 80892522.

225298080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225298081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2187309 + ... + 2187411.

It is an arithmetic number, because the mean of its divisors is an integer number (2157792).

Almost surely, 2^225298080 is an apocalyptic number.

225298080 is a gapful number since it is divisible by the number (20) 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 225298080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466083072).

225298080 is an abundant number, since it is smaller than the sum of its proper divisors (706868064).

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

225298080 is a wasteful number, since it uses less digits than its factorization.

225298080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 225298080 is about 15009.9327113748. The cubic root of 225298080 is about 608.4886710753.

The spelling of 225298080 in words is "two hundred twenty-five million, two hundred ninety-eight thousand, eighty".