Search a number
-
+
222405454121 is a prime number
BaseRepresentation
bin1100111100100001100…
…1011110100100101001
3210021001211002200110112
43033020121132210221
512120441244012441
6250101024424105
722032262111454
oct3171031364451
9707054080415
10222405454121
118635a098534
123712b178035
1317c85172136
14aa9ba4649b
155bba4924eb
hex33c865e929

222405454121 has 2 divisors, whose sum is σ = 222405454122. Its totient is φ = 222405454120.

The previous prime is 222405454091. The next prime is 222405454147. The reversal of 222405454121 is 121454504222.

222405454121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181421476096 + 40983978025 = 425936^2 + 202445^2 .

It is a cyclic number.

It is not a de Polignac number, because 222405454121 - 218 = 222405191977 is a prime.

It is not a weakly prime, because it can be changed into another prime (222435454121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111202727060 + 111202727061.

It is an arithmetic number, because the mean of its divisors is an integer number (111202727061).

Almost surely, 2222405454121 is an apocalyptic number.

It is an amenable number.

222405454121 is a deficient number, since it is larger than the sum of its proper divisors (1).

222405454121 is an equidigital number, since it uses as much as digits as its factorization.

222405454121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 222405454121 its reverse (121454504222), we get a palindrome (343859958343).

The spelling of 222405454121 in words is "two hundred twenty-two billion, four hundred five million, four hundred fifty-four thousand, one hundred twenty-one".