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223313381 is a prime number
BaseRepresentation
bin11010100111101…
…11110111100101
3120120012111100222
431103313313211
5424132012011
634054214125
75351063264
oct1523676745
9516174328
10223313381
11105066715
1262954345
133735a8c5
14219305db
1514911ddb
hexd4f7de5

223313381 has 2 divisors, whose sum is σ = 223313382. Its totient is φ = 223313380.

The previous prime is 223313359. The next prime is 223313393. The reversal of 223313381 is 183313322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135722500 + 87590881 = 11650^2 + 9359^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223313381 is a prime.

It is a super-2 number, since 2×2233133812 = 99737732267302322, which contains 22 as substring.

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 223313381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223313341) 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, 111656690 + 111656691.

It is an arithmetic number, because the mean of its divisors is an integer number (111656691).

Almost surely, 2223313381 is an apocalyptic number.

It is an amenable number.

223313381 is a deficient number, since it is larger than the sum of its proper divisors (1).

223313381 is an equidigital number, since it uses as much as digits as its factorization.

223313381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 26.

The square root of 223313381 is about 14943.6736112644. The cubic root of 223313381 is about 606.6966295966.

The spelling of 223313381 in words is "two hundred twenty-three million, three hundred thirteen thousand, three hundred eighty-one".