305224415072929 has 27 divisors (see below), whose sum is σ = 347468652400051. Its totient is φ = 267903685705040.

The previous prime is 305224415072921. The next prime is 305224415072953. The reversal of 305224415072929 is 929270514422503.

It is a happy number.

The square root of 305224415072929 is 17470673.

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

It can be written as a sum of positive squares in only one way, i.e., 160052279485329 + 145172135587600 = 12651177^2 + 12048740^2 .

It is not a de Polignac number, because 305224415072929 - 2³ = 305224415072921 is a prime.

It is a super-2 number, since 2×305224415072929² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 305224415072929.

It is not an unprimeable number, because it can be changed into a prime (305224415072921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5573117304 + ... + 5573172070.

Almost surely, 2^{305224415072929} is an apocalyptic number.

305224415072929 is the 17470673-rd square number.

305224415072929 is the 8735337-th centered octagonal number.

It is an amenable number.

305224415072929 is a deficient number, since it is larger than the sum of its proper divisors (42244237327122).

305224415072929 is an frugal number, since it uses more digits than its factorization.

305224415072929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109614 (or 54807 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 305224415072929 in words is "three hundred five trillion, two hundred twenty-four billion, four hundred fifteen million, seventy-two thousand, nine hundred twenty-nine".