Search a number
-
+
22440412129 is a prime number
BaseRepresentation
bin10100111001100011…
…011000001111100001
32010220220121001100011
4110321203120033201
5331424221142004
614150423524521
71423044233032
oct247143301741
963826531304
1022440412129
119576033853
1244232b9741
132168172895
14112c464a89
158b5126004
hex5398d83e1

22440412129 has 2 divisors, whose sum is σ = 22440412130. Its totient is φ = 22440412128.

The previous prime is 22440412109. The next prime is 22440412133. The reversal of 22440412129 is 92121404422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20186726400 + 2253685729 = 142080^2 + 47473^2 .

It is a cyclic number.

It is not a de Polignac number, because 22440412129 - 211 = 22440410081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22440412129.

It is not a weakly prime, because it can be changed into another prime (22440412109) 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, 11220206064 + 11220206065.

It is an arithmetic number, because the mean of its divisors is an integer number (11220206065).

Almost surely, 222440412129 is an apocalyptic number.

It is an amenable number.

22440412129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22440412129 is an equidigital number, since it uses as much as digits as its factorization.

22440412129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 22440412129 in words is "twenty-two billion, four hundred forty million, four hundred twelve thousand, one hundred twenty-nine".