10468227200 has 48 divisors (see below), whose sum is σ = 25859800410. Its totient is φ = 4187289600.

The previous prime is 10468227197. The next prime is 10468227311. The reversal of 10468227200 is 272286401.

10468227200 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 3 ways, for example, as 6142797376 + 4325429824 = 78376^2 + 65768^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 5 ways as a sum of consecutive naturals, for example, 1632461 + ... + 1638860.

Almost surely, 2^10468227200 is an apocalyptic number.

10468227200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10468227200 is an abundant number, since it is smaller than the sum of its proper divisors (15391573210).

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

10468227200 is an equidigital number, since it uses as much as digits as its factorization.

10468227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271345 (or 3271328 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 10468227200 in words is "ten billion, four hundred sixty-eight million, two hundred twenty-seven thousand, two hundred".