Search a number
-
+
2202222312341 is a prime number
BaseRepresentation
bin100000000010111110101…
…011011011101110010101
321210112022122210200212222
4200002332223123232111
5242040122402443331
64403404214552125
7315051056540552
oct40027653335625
97715278720788
102202222312341
11779a590a1157
122b697b968645
1312c8900c795c
1478833b79a29
153c4415c9b7b
hex200beadbb95

2202222312341 has 2 divisors, whose sum is σ = 2202222312342. Its totient is φ = 2202222312340.

The previous prime is 2202222312317. The next prime is 2202222312343. The reversal of 2202222312341 is 1432132222022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2142283031716 + 59939280625 = 1463654^2 + 244825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2202222312341 is a prime.

It is a super-2 number, since 2×22022223123412 (a number of 25 digits) contains 22 as substring.

Together with 2202222312343, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2202222312341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2202222312343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101111156170 + 1101111156171.

It is an arithmetic number, because the mean of its divisors is an integer number (1101111156171).

Almost surely, 22202222312341 is an apocalyptic number.

It is an amenable number.

2202222312341 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202222312341 is an equidigital number, since it uses as much as digits as its factorization.

2202222312341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2202222312341 its reverse (1432132222022), we get a palindrome (3634354534363).

The spelling of 2202222312341 in words is "two trillion, two hundred two billion, two hundred twenty-two million, three hundred twelve thousand, three hundred forty-one".