224122000225 has 12 divisors (see below), whose sum is σ = 277931703420. Its totient is φ = 179284424000.

The previous prime is 224122000217. The next prime is 224122000279. The reversal of 224122000225 is 522000221422.

224122000225 is digitally balanced in base 2, 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 6 ways, for example, as 35397788449 + 188724211776 = 188143^2 + 434424^2 .

It is not a de Polignac number, because 224122000225 - 2³ = 224122000217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224122000196 and 224122000205.

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 11 ways as a sum of consecutive naturals, for example, 25071 + ... + 669979.

It is an arithmetic number, because the mean of its divisors is an integer number (23160975285).

Almost surely, 2^224122000225 is an apocalyptic number.

224122000225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

224122000225 is a deficient number, since it is larger than the sum of its proper divisors (53809703195).

224122000225 is a wasteful number, since it uses less digits than its factorization.

224122000225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658820 (or 658815 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 224122000225 its reverse (522000221422), we get a palindrome (746122221647).

The spelling of 224122000225 in words is "two hundred twenty-four billion, one hundred twenty-two million, two hundred twenty-five", and thus it is an aban number.