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223240104317 is a prime number
BaseRepresentation
bin1100111111101000100…
…1011010100101111101
3210100012222122022021202
43033322021122211331
512124143431314232
6250315522105245
722062045402116
oct3177211324575
9710188568252
10223240104317
118674824558a
12373227ab225
13180890677a9
14ab3a83120d
155c188b1162
hex33fa25a97d

223240104317 has 2 divisors, whose sum is σ = 223240104318. Its totient is φ = 223240104316.

The previous prime is 223240104281. The next prime is 223240104383. The reversal of 223240104317 is 713401042322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149259368281 + 73980736036 = 386341^2 + 271994^2 .

It is a cyclic number.

It is not a de Polignac number, because 223240104317 - 26 = 223240104253 is a prime.

It is a super-3 number, since 3×2232401043173 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223240104317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223240134317) 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, 111620052158 + 111620052159.

It is an arithmetic number, because the mean of its divisors is an integer number (111620052159).

Almost surely, 2223240104317 is an apocalyptic number.

It is an amenable number.

223240104317 is a deficient number, since it is larger than the sum of its proper divisors (1).

223240104317 is an equidigital number, since it uses as much as digits as its factorization.

223240104317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 29.

Adding to 223240104317 its reverse (713401042322), we get a palindrome (936641146639).

The spelling of 223240104317 in words is "two hundred twenty-three billion, two hundred forty million, one hundred four thousand, three hundred seventeen".