225640000 has 70 divisors (see below), whose sum is σ = 559613054. Its totient is φ = 90240000.

The previous prime is 225639977. The next prime is 225640021. The reversal of 225640000 is 46522.

It can be written as a sum of positive squares in 5 ways, for example, as 24681024 + 200958976 = 4968^2 + 14176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225640000.

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, 37180 + ... + 42820.

Almost surely, 2^225640000 is an apocalyptic number.

225640000 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 225640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279806527).

225640000 is an abundant number, since it is smaller than the sum of its proper divisors (333973054).

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

225640000 is an frugal number, since it uses more digits than its factorization.

225640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 225640000 is about 15021.3181845003. The cubic root of 225640000 is about 608.7963364948.

Adding to 225640000 its reverse (46522), we get a palindrome (225686522).

It can be divided in two parts, 225 and 640000, that multiplied together give a square (144000000 = 12000²).

The spelling of 225640000 in words is "two hundred twenty-five million, six hundred forty thousand".