Search a number
-
+
223304032349 is a prime number
BaseRepresentation
bin1100111111110111110…
…1010010000001011101
3210100101102221012001122
43033331331102001131
512124311313013344
6250330124220325
722063452646166
oct3177575220135
9710342835048
10223304032349
1186780339672
123734009a6a5
131809938b628
14ab4511276d
155c1e2dcaee
hex33fdf5205d

223304032349 has 2 divisors, whose sum is σ = 223304032350. Its totient is φ = 223304032348.

The previous prime is 223304032307. The next prime is 223304032351. The reversal of 223304032349 is 943230403322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216792672100 + 6511360249 = 465610^2 + 80693^2 .

It is a cyclic number.

It is not a de Polignac number, because 223304032349 - 220 = 223302983773 is a prime.

It is a Sophie Germain prime.

Together with 223304032351, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223304032649) 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, 111652016174 + 111652016175.

It is an arithmetic number, because the mean of its divisors is an integer number (111652016175).

Almost surely, 2223304032349 is an apocalyptic number.

It is an amenable number.

223304032349 is a deficient number, since it is larger than the sum of its proper divisors (1).

223304032349 is an equidigital number, since it uses as much as digits as its factorization.

223304032349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 35.

The spelling of 223304032349 in words is "two hundred twenty-three billion, three hundred four million, thirty-two thousand, three hundred forty-nine".