225008640 has 264 divisors, whose sum is σ = 823876560. Its totient is φ = 56623104.

The previous prime is 225008639. The next prime is 225008647. The reversal of 225008640 is 46800522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225008647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875392 + ... + 875648.

Almost surely, 2^225008640 is an apocalyptic number.

225008640 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 225008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411938280).

225008640 is an abundant number, since it is smaller than the sum of its proper divisors (598867920).

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

225008640 is a wasteful number, since it uses less digits than its factorization.

225008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 225008640 is about 15000.2879972353. The cubic root of 225008640 is about 608.2279846762.

The spelling of 225008640 in words is "two hundred twenty-five million, eight thousand, six hundred forty".