Search a number
-
+
22322400303149 is a prime number
BaseRepresentation
bin1010001001101010101101…
…01111011001100000101101
32221001000000110100200112022
411010311112233121200231
510411212233434200044
6115250434044315525
74462511613624512
oct504652657314055
987030013320468
1022322400303149
117126971033451
122606292842ba5
13c5bcbb41524b
145725a4c33309
1528a9cbd743ee
hex144d56bd982d

22322400303149 has 2 divisors, whose sum is σ = 22322400303150. Its totient is φ = 22322400303148.

The previous prime is 22322400303143. The next prime is 22322400303157. The reversal of 22322400303149 is 94130300422322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21010214016100 + 1312186287049 = 4583690^2 + 1145507^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22322400303149 is a prime.

It is a super-3 number, since 3×223224003031493 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22322400303143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11161200151574 + 11161200151575.

It is an arithmetic number, because the mean of its divisors is an integer number (11161200151575).

Almost surely, 222322400303149 is an apocalyptic number.

It is an amenable number.

22322400303149 is a deficient number, since it is larger than the sum of its proper divisors (1).

22322400303149 is an equidigital number, since it uses as much as digits as its factorization.

22322400303149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 22322400303149 in words is "twenty-two trillion, three hundred twenty-two billion, four hundred million, three hundred three thousand, one hundred forty-nine".