225353040 has 80 divisors (see below), whose sum is σ = 762111936. Its totient is φ = 54630400.

The previous prime is 225353033. The next prime is 225353059. The reversal of 225353040 is 40353522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 225353040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40041 + ... + 45320.

Almost surely, 2^225353040 is an apocalyptic number.

225353040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225353040 is an abundant number, since it is smaller than the sum of its proper divisors (536758896).

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

225353040 is a wasteful number, since it uses less digits than its factorization.

225353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85388 (or 85382 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 225353040 is about 15011.7633874239. The cubic root of 225353040 is about 608.5381460026.

The spelling of 225353040 in words is "two hundred twenty-five million, three hundred fifty-three thousand, forty".