Search a number
-
+
222400313 is a prime number
BaseRepresentation
bin11010100000110…
…00111100111001
3120111111002212122
431100120330321
5423413302223
634022451025
75340241262
oct1520307471
9514432778
10222400313
111045a2713
1262593a75
13370cb125
1421773969
15147d15c8
hexd418f39

222400313 has 2 divisors, whose sum is σ = 222400314. Its totient is φ = 222400312.

The previous prime is 222400309. The next prime is 222400331. The reversal of 222400313 is 313004222.

222400313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (222400331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217031824 + 5368489 = 14732^2 + 2317^2 .

It is a cyclic number.

It is not a de Polignac number, because 222400313 - 22 = 222400309 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 222400291 and 222400300.

It is not a weakly prime, because it can be changed into another prime (222400513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111200156 + 111200157.

It is an arithmetic number, because the mean of its divisors is an integer number (111200157).

Almost surely, 2222400313 is an apocalyptic number.

It is an amenable number.

222400313 is a deficient number, since it is larger than the sum of its proper divisors (1).

222400313 is an equidigital number, since it uses as much as digits as its factorization.

222400313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 222400313 is about 14913.0919999844. The cubic root of 222400313 is about 605.8686272822.

Adding to 222400313 its reverse (313004222), we get a palindrome (535404535).

The spelling of 222400313 in words is "two hundred twenty-two million, four hundred thousand, three hundred thirteen".