225233520960 has 224 divisors, whose sum is σ = 860290928640. Its totient is φ = 48772343808.

The previous prime is 225233520959. The next prime is 225233520971. The reversal of 225233520960 is 69025332522.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754344 + ... + 1009703.

Almost surely, 2^225233520960 is an apocalyptic number.

225233520960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225233520960 is an abundant number, since it is smaller than the sum of its proper divisors (635057407680).

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

225233520960 is a wasteful number, since it uses less digits than its factorization.

225233520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764093 (or 1764083 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 225233520960 in words is "two hundred twenty-five billion, two hundred thirty-three million, five hundred twenty thousand, nine hundred sixty".