22313122209 has 72 divisors (see below), whose sum is σ = 38677265640. Its totient is φ = 12350403072.

The previous prime is 22313122193. The next prime is 22313122231. The reversal of 22313122209 is 90222131322.

22313122209 is a `hidden beast` number, since 22 + 313 + 122 + 209 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1121915025 + 21191207184 = 33495^2 + 145572^2 .

It is not a de Polignac number, because 22313122209 - 2⁴ = 22313122193 is a prime.

It is a super-3 number, since 3×22313122209³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22313122259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3798927 + ... + 3804795.

It is an arithmetic number, because the mean of its divisors is an integer number (537184245).

Almost surely, 2^22313122209 is an apocalyptic number.

It is an amenable number.

22313122209 is a deficient number, since it is larger than the sum of its proper divisors (16364143431).

22313122209 is a wasteful number, since it uses less digits than its factorization.

22313122209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 22313122209 in words is "twenty-two billion, three hundred thirteen million, one hundred twenty-two thousand, two hundred nine".