225233734640 has 40 divisors (see below), whose sum is σ = 534810323520. Its totient is φ = 88176609536.

The previous prime is 225233734631. The next prime is 225233734651. The reversal of 225233734640 is 46437332522.

225233734640 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 (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29947535 + ... + 29955054.

It is an arithmetic number, because the mean of its divisors is an integer number (13370258088).

Almost surely, 2^225233734640 is an apocalyptic number.

225233734640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225233734640 is an abundant number, since it is smaller than the sum of its proper divisors (309576588880).

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

225233734640 is a wasteful number, since it uses less digits than its factorization.

225233734640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59902649 (or 59902643 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 41.

The spelling of 225233734640 in words is "two hundred twenty-five billion, two hundred thirty-three million, seven hundred thirty-four thousand, six hundred forty".