225280000 has 160 divisors (see below), whose sum is σ = 614194020. Its totient is φ = 81920000.

The previous prime is 225279983. The next prime is 225280031. The reversal of 225280000 is 82522.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 225280000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20479995 + ... + 20480005.

Almost surely, 2^225280000 is an apocalyptic number.

225280000 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 225280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307097010).

225280000 is an abundant number, since it is smaller than the sum of its proper divisors (388914020).

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

225280000 is an frugal number, since it uses more digits than its factorization.

225280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 225280000 is about 15009.3304314350. The cubic root of 225280000 is about 608.4723937218.

The spelling of 225280000 in words is "two hundred twenty-five million, two hundred eighty thousand".