22085102133 has 24 divisors (see below), whose sum is σ = 32088707352. Its totient is φ = 14636740608.

The previous prime is 22085102099. The next prime is 22085102141. The reversal of 22085102133 is 33120158022.

It can be written as a sum of positive squares in 4 ways, for example, as 103184964 + 21981917169 = 10158^2 + 148263^2 .

It is not a de Polignac number, because 22085102133 - 2²² = 22080907829 is a prime.

It is a super-2 number, since 2×22085102133² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22085102097 and 22085102106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22085102183) 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 23 ways as a sum of consecutive naturals, for example, 3041335 + ... + 3048587.

It is an arithmetic number, because the mean of its divisors is an integer number (1337029473).

Almost surely, 2^22085102133 is an apocalyptic number.

It is an amenable number.

22085102133 is a deficient number, since it is larger than the sum of its proper divisors (10003605219).

22085102133 is a wasteful number, since it uses less digits than its factorization.

22085102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9205 (or 9202 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 22085102133 in words is "twenty-two billion, eighty-five million, one hundred two thousand, one hundred thirty-three".