225212240500 has 96 divisors (see below), whose sum is σ = 530312590080. Its totient is φ = 83058998400.

The previous prime is 225212240431. The next prime is 225212240531. The reversal of 225212240500 is 5042212522.

225212240500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 5719881 + ... + 5759119.

It is an arithmetic number, because the mean of its divisors is an integer number (5524089480).

Almost surely, 2^225212240500 is an apocalyptic number.

225212240500 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 225212240500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265156295040).

225212240500 is an abundant number, since it is smaller than the sum of its proper divisors (305100349580).

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

225212240500 is a wasteful number, since it uses less digits than its factorization.

225212240500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40154 (or 40142 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 225212240500 in words is "two hundred twenty-five billion, two hundred twelve million, two hundred forty thousand, five hundred".