225626000 has 80 divisors (see below), whose sum is σ = 560492400. Its totient is φ = 87782400.

The previous prime is 225625999. The next prime is 225626033. The reversal of 225626000 is 626522.

It is a happy number.

225626000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 72658576 + 152967424 = 8524^2 + 12368^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72476 + ... + 75524.

It is an arithmetic number, because the mean of its divisors is an integer number (7006155).

Almost surely, 2^225626000 is an apocalyptic number.

225626000 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 225626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280246200).

225626000 is an abundant number, since it is smaller than the sum of its proper divisors (334866400).

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

225626000 is a wasteful number, since it uses less digits than its factorization.

225626000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 225626000 is about 15020.8521728962. The cubic root of 225626000 is about 608.7837451621.

The spelling of 225626000 in words is "two hundred twenty-five million, six hundred twenty-six thousand".