3222809505 has 96 divisors (see below), whose sum is σ = 5967146880. Its totient is φ = 1650038400.

The previous prime is 3222809477. The next prime is 3222809533. The reversal of 3222809505 is 5059082223.

3222809505 is a `hidden beast` number, since 322 + 280 + 9 + 50 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (3222809477) and next prime (3222809533).

It is not a de Polignac number, because 3222809505 - 2¹¹ = 3222807457 is a prime.

It is a super-2 number, since 2×3222809505² = 20773002211036690050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3222809505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30119662 + ... + 30119768.

It is an arithmetic number, because the mean of its divisors is an integer number (62157780).

Almost surely, 2^3222809505 is an apocalyptic number.

It is an amenable number.

3222809505 is a deficient number, since it is larger than the sum of its proper divisors (2744337375).

3222809505 is a wasteful number, since it uses less digits than its factorization.

3222809505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3222809505 is about 56769.7939488950. The cubic root of 3222809505 is about 1477.1056021694.

The spelling of 3222809505 in words is "three billion, two hundred twenty-two million, eight hundred nine thousand, five hundred five".