3006305226 has 16 divisors (see below), whose sum is σ = 6680678400. Its totient is φ = 1002101724.

The previous prime is 3006305171. The next prime is 3006305233. The reversal of 3006305226 is 6225036003.

3006305226 is a `hidden beast` number, since 3 + 0 + 0 + 630 + 5 + 2 + 26 = 666.

It is a super-2 number, since 2×3006305226² = 18075742223749822152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3006305226.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27836106 + ... + 27836213.

It is an arithmetic number, because the mean of its divisors is an integer number (417542400).

Almost surely, 2^3006305226 is an apocalyptic number.

3006305226 is an abundant number, since it is smaller than the sum of its proper divisors (3674373174).

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

3006305226 is a wasteful number, since it uses less digits than its factorization.

3006305226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55672330 (or 55672324 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3006305226 is about 54829.7841141108. The cubic root of 3006305226 is about 1443.2592754230.

The spelling of 3006305226 in words is "three billion, six million, three hundred five thousand, two hundred twenty-six".