10222234911729 has 45 divisors (see below), whose sum is σ = 15424418536923. Its totient is φ = 6746703241248.

The previous prime is 10222234911727. The next prime is 10222234911797. The reversal of 10222234911729 is 92711943222201.

The square root of 10222234911729 is 3197223.

It is a perfect power (a square), and thus also a powerful number.

10222234911729 is a `hidden beast` number, since 1 + 0 + 2 + 222 + 349 + 11 + 72 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53279257329 + 10168955654400 = 230823^2 + 3188880^2 .

It is not a de Polignac number, because 10222234911729 - 2¹ = 10222234911727 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10222234911727) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2963823997 + ... + 2963827445.

Almost surely, 2^{10222234911729} is an apocalyptic number.

10222234911729 is the 3197223-rd square number.

10222234911729 is the 1598612-nd centered octagonal number.

It is an amenable number.

10222234911729 is a deficient number, since it is larger than the sum of its proper divisors (5202183625194).

10222234911729 is an frugal number, since it uses more digits than its factorization.

10222234911729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7116 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10222234911729 in words is "ten trillion, two hundred twenty-two billion, two hundred thirty-four million, nine hundred eleven thousand, seven hundred twenty-nine".