Search a number
-
+
22971309337 is a prime number
BaseRepresentation
bin10101011001001100…
…100101110100011001
32012021220120102101201
4111121030211310121
5334021123344322
614315230514201
71442151623224
oct253114456431
965256512351
1022971309337
119818783779
124551065961
132221155142
14117cb805bb
158e6a43d27
hex559325d19

22971309337 has 2 divisors, whose sum is σ = 22971309338. Its totient is φ = 22971309336.

The previous prime is 22971309217. The next prime is 22971309353. The reversal of 22971309337 is 73390317922.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20505094416 + 2466214921 = 143196^2 + 49661^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22971309337 is a prime.

It is a super-2 number, since 2×229713093372 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22971301337) 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 as a sum of consecutive naturals, namely, 11485654668 + 11485654669.

It is an arithmetic number, because the mean of its divisors is an integer number (11485654669).

Almost surely, 222971309337 is an apocalyptic number.

It is an amenable number.

22971309337 is a deficient number, since it is larger than the sum of its proper divisors (1).

22971309337 is an equidigital number, since it uses as much as digits as its factorization.

22971309337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 428652, while the sum is 46.

The spelling of 22971309337 in words is "twenty-two billion, nine hundred seventy-one million, three hundred nine thousand, three hundred thirty-seven".