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223222313 is a prime number
BaseRepresentation
bin11010100111000…
…01101000101001
3120120000212110002
431103201220221
5424121103223
634052232345
75350233626
oct1523415051
9516025402
10223222313
11105004256
126290b6b5
1337328312
142190934d
15148e4e28
hexd4e1a29

223222313 has 2 divisors, whose sum is σ = 223222314. Its totient is φ = 223222312.

The previous prime is 223222303. The next prime is 223222357. The reversal of 223222313 is 313222322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221801449 + 1420864 = 14893^2 + 1192^2 .

It is a cyclic number.

It is not a de Polignac number, because 223222313 - 210 = 223221289 is a prime.

It is a super-3 number, since 3×2232223133 (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223222303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111611156 + 111611157.

It is an arithmetic number, because the mean of its divisors is an integer number (111611157).

Almost surely, 2223222313 is an apocalyptic number.

It is an amenable number.

223222313 is a deficient number, since it is larger than the sum of its proper divisors (1).

223222313 is an equidigital number, since it uses as much as digits as its factorization.

223222313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 20.

The square root of 223222313 is about 14940.6262586278. The cubic root of 223222313 is about 606.6141473608.

Adding to 223222313 its reverse (313222322), we get a palindrome (536444635).

Subtracting 223222313 from its reverse (313222322), we obtain a palindrome (90000009).

The spelling of 223222313 in words is "two hundred twenty-three million, two hundred twenty-two thousand, three hundred thirteen".