10222209734304 has 48 divisors (see below), whose sum is σ = 26854313639328. Its totient is φ = 3404734916352.

The previous prime is 10222209734279. The next prime is 10222209734327. The reversal of 10222209734304 is 40343790222201.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 41569402 + ... + 41814585.

It is an arithmetic number, because the mean of its divisors is an integer number (559464867486).

Almost surely, 2^{10222209734304} is an apocalyptic number.

It is an amenable number.

10222209734304 is an abundant number, since it is smaller than the sum of its proper divisors (16632103905024).

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

10222209734304 is a wasteful number, since it uses less digits than its factorization.

10222209734304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83385277 (or 83385269 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

Adding to 10222209734304 its reverse (40343790222201), we get a palindrome (50565999956505).

The spelling of 10222209734304 in words is "ten trillion, two hundred twenty-two billion, two hundred nine million, seven hundred thirty-four thousand, three hundred four".