10222429305 has 64 divisors (see below), whose sum is σ = 18802990080. Its totient is φ = 4690195200.

The previous prime is 10222429297. The next prime is 10222429313. The reversal of 10222429305 is 50392422201.

10222429305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10222429297) and next prime (10222429313).

It is not a de Polignac number, because 10222429305 - 2³ = 10222429297 is a prime.

It is a super-3 number, since 3×10222429305³ (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 4773535 + ... + 4775675.

It is an arithmetic number, because the mean of its divisors is an integer number (293796720).

Almost surely, 2^10222429305 is an apocalyptic number.

10222429305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10222429305 is a deficient number, since it is larger than the sum of its proper divisors (8580560775).

10222429305 is a wasteful number, since it uses less digits than its factorization.

10222429305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702.

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10222429305 in words is "ten billion, two hundred twenty-two million, four hundred twenty-nine thousand, three hundred five".