30334492224 has 315 divisors, whose sum is σ = 93756264481. Its totient is φ = 9697674240.

The previous prime is 30334492213. The next prime is 30334492229. The reversal of 30334492224 is 42229443303.

The square root of 30334492224 is 174168.

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

30334492224 is a `hidden beast` number, since 3 + 0 + 3 + 344 + 92 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1461685824 + 28872806400 = 38232^2 + 169920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30334492229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 514143907 + ... + 514143965.

Almost surely, 2^30334492224 is an apocalyptic number.

30334492224 is the 174168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30334492224

30334492224 is an abundant number, since it is smaller than the sum of its proper divisors (63421772257).

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

30334492224 is an frugal number, since it uses more digits than its factorization.

30334492224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Multiplying 30334492224 by its sum of digits (36), we get a square (1092041720064 = 1045008²).

30334492224 divided by its sum of digits (36) gives a square (842624784 = 29028²).

The spelling of 30334492224 in words is "thirty billion, three hundred thirty-four million, four hundred ninety-two thousand, two hundred twenty-four".