Search a number
-
+
223223330353 is a prime number
BaseRepresentation
bin1100111111100100100…
…1011011011000110001
3210100011211002002201211
43033321021123120301
512124130133032403
6250314122400121
722061453000332
oct3177111333061
9710154062654
10223223330353
1186739829001
1237319060041
131808574387a
14ab38506289
155c1719b06d
hex33f925b631

223223330353 has 2 divisors, whose sum is σ = 223223330354. Its totient is φ = 223223330352.

The previous prime is 223223330333. The next prime is 223223330357. The reversal of 223223330353 is 353033322322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216501298209 + 6722032144 = 465297^2 + 81988^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223223330353 is a prime.

It is a super-3 number, since 3×2232233303533 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (223223330357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111611665176 + 111611665177.

It is an arithmetic number, because the mean of its divisors is an integer number (111611665177).

Almost surely, 2223223330353 is an apocalyptic number.

It is an amenable number.

223223330353 is a deficient number, since it is larger than the sum of its proper divisors (1).

223223330353 is an equidigital number, since it uses as much as digits as its factorization.

223223330353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 31.

Adding to 223223330353 its reverse (353033322322), we get a palindrome (576256652675).

The spelling of 223223330353 in words is "two hundred twenty-three billion, two hundred twenty-three million, three hundred thirty thousand, three hundred fifty-three".