Search a number
-
+
22422431137 is a prime number
BaseRepresentation
bin10100111000011110…
…110010010110100001
32010212122202112001111
4110320132302112201
5331410120244022
614144542303321
71422435343231
oct247036622641
963778675044
1022422431137
119566972427
124419287b41
132164518442
141129d03cc1
158b3773477
hex5387b25a1

22422431137 has 2 divisors, whose sum is σ = 22422431138. Its totient is φ = 22422431136.

The previous prime is 22422431123. The next prime is 22422431177. The reversal of 22422431137 is 73113422422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20165136016 + 2257295121 = 142004^2 + 47511^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22422431137 is a prime.

It is a super-2 number, since 2×224224311372 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22422431099 and 22422431108.

It is not a weakly prime, because it can be changed into another prime (22422431177) 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, 11211215568 + 11211215569.

It is an arithmetic number, because the mean of its divisors is an integer number (11211215569).

Almost surely, 222422431137 is an apocalyptic number.

It is an amenable number.

22422431137 is a deficient number, since it is larger than the sum of its proper divisors (1).

22422431137 is an equidigital number, since it uses as much as digits as its factorization.

22422431137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 31.

Adding to 22422431137 its reverse (73113422422), we get a palindrome (95535853559).

The spelling of 22422431137 in words is "twenty-two billion, four hundred twenty-two million, four hundred thirty-one thousand, one hundred thirty-seven".