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22116166281 = 32112326336931
BaseRepresentation
bin10100100110001110…
…011110101010001001
32010002022110122122200
4110212032132222021
5330243214310111
614054322110413
71412026211616
oct244616365211
963068418580
1022116166281
119419aaa080
1243527ab409
132115c35c31
1410db37d50d
15896928256
hex52639ea89

22116166281 has 48 divisors (see below), whose sum is σ = 36504179712. Its totient is φ = 12771871200.

The previous prime is 22116166217. The next prime is 22116166291. The reversal of 22116166281 is 18266161122.

It is a happy number.

22116166281 is a `hidden beast` number, since 2 + 2 + 1 + 16 + 16 + 628 + 1 = 666.

It is not a de Polignac number, because 22116166281 - 26 = 22116166217 is a prime.

It is a super-2 number, since 2×221161662812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22116166291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580386 + ... + 617316.

It is an arithmetic number, because the mean of its divisors is an integer number (760503744).

Almost surely, 222116166281 is an apocalyptic number.

It is an amenable number.

22116166281 is a deficient number, since it is larger than the sum of its proper divisors (14388013431).

22116166281 is a wasteful number, since it uses less digits than its factorization.

22116166281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37234 (or 37231 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 22116166281 in words is "twenty-two billion, one hundred sixteen million, one hundred sixty-six thousand, two hundred eighty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 263 759 789 2277 2367 2893 6049 8679 18147 26037 36931 54441 66539 110793 199617 332379 406241 598851 849413 1218723 2548239 3656169 7644717 9343543 9712853 28030629 29138559 84091887 87415677 106841383 223395619 320524149 670186857 961572447 2010560571 2457351809 7372055427 22116166281