Search a number
-
+
223233322231 is a prime number
BaseRepresentation
bin1100111111100110111…
…1100010110011110111
3210100012111212202000101
43033321233202303313
512124140212302411
6250315120454531
722061633634223
oct3177157426367
9710174782011
10223233322231
1186744433057
123732047a447
131808783181a
14ab39987783
155c17ec18c1
hex33f9be2cf7

223233322231 has 2 divisors, whose sum is σ = 223233322232. Its totient is φ = 223233322230.

The previous prime is 223233322223. The next prime is 223233322253. The reversal of 223233322231 is 132223332322.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 223233322231 - 23 = 223233322223 is a prime.

It is a super-3 number, since 3×2232333222313 (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 223233322231.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223233322031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111616661115 + 111616661116.

It is an arithmetic number, because the mean of its divisors is an integer number (111616661116).

Almost surely, 2223233322231 is an apocalyptic number.

223233322231 is a deficient number, since it is larger than the sum of its proper divisors (1).

223233322231 is an equidigital number, since it uses as much as digits as its factorization.

223233322231 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15552, while the sum is 28.

Adding to 223233322231 its reverse (132223332322), we get a palindrome (355456654553).

The spelling of 223233322231 in words is "two hundred twenty-three billion, two hundred thirty-three million, three hundred twenty-two thousand, two hundred thirty-one".