225260000 has 120 divisors (see below), whose sum is σ = 633734640. Its totient is φ = 77184000.

The previous prime is 225259987. The next prime is 225260003. The reversal of 225260000 is 62522.

225260000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225260003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139196 + ... + 140804.

It is an arithmetic number, because the mean of its divisors is an integer number (5281122).

Almost surely, 2^225260000 is an apocalyptic number.

225260000 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 225260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316867320).

225260000 is an abundant number, since it is smaller than the sum of its proper divisors (408474640).

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

225260000 is an equidigital number, since it uses as much as digits as its factorization.

225260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 225260000 is about 15008.6641644085. The cubic root of 225260000 is about 608.4543867852.

The spelling of 225260000 in words is "two hundred twenty-five million, two hundred sixty thousand".