225308419200 has 216 divisors, whose sum is σ = 804239609355. Its totient is φ = 60060764160.

The previous prime is 225308419183. The next prime is 225308419211. The reversal of 225308419200 is 2914803522.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225308419200 is a `hidden beast` number, since 2 + 2 + 5 + 30 + 8 + 419 + 200 = 666.

225308419200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 136728373824 + 88580045376 = 369768^2 + 297624^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335640.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 26 ways as a sum of consecutive naturals, for example, 80552202 + ... + 80554998.

Almost surely, 2^225308419200 is an apocalyptic number.

225308419200 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 225308419200

225308419200 is an abundant number, since it is smaller than the sum of its proper divisors (578931190155).

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

225308419200 is an frugal number, since it uses more digits than its factorization.

225308419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 225308419200 in words is "two hundred twenty-five billion, three hundred eight million, four hundred nineteen thousand, two hundred".