225210000 has 100 divisors (see below), whose sum is σ = 727104752. Its totient is φ = 60048000.

The previous prime is 225209927. The next prime is 225210019. The reversal of 225210000 is 12522.

225210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26247 + ... + 33753.

Almost surely, 2^225210000 is an apocalyptic number.

225210000 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 225210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363552376).

225210000 is an abundant number, since it is smaller than the sum of its proper divisors (501894752).

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

225210000 is an equidigital number, since it uses as much as digits as its factorization.

225210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7538 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 225210000 is about 15006.9983674284. The cubic root of 225210000 is about 608.4093647802.

Adding to 225210000 its reverse (12522), we get a palindrome (225222522).

The spelling of 225210000 in words is "two hundred twenty-five million, two hundred ten thousand".