225525840 has 80 divisors (see below), whose sum is σ = 700723008. Its totient is φ = 60003328.

The previous prime is 225525809. The next prime is 225525847. The reversal of 225525840 is 48525522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225525847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147319 + ... + 148841.

Almost surely, 2^225525840 is an apocalyptic number.

225525840 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 225525840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350361504).

225525840 is an abundant number, since it is smaller than the sum of its proper divisors (475197168).

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

225525840 is a wasteful number, since it uses less digits than its factorization.

225525840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 225525840 is about 15017.5177709234. The cubic root of 225525840 is about 608.6936479733.

The spelling of 225525840 in words is "two hundred twenty-five million, five hundred twenty-five thousand, eight hundred forty".