Search a number
-
+
33223340233 is a prime number
BaseRepresentation
bin11110111100010000…
…111111000011001001
310011202101120112220201
4132330100333003021
51021020133341413
623132415252201
72254206506146
oct367420770311
9104671515821
1033223340233
11130a9789286
12653251a061
133196116505
14187258b3cd
15ce6ad79dd
hex7bc43f0c9

33223340233 has 2 divisors, whose sum is σ = 33223340234. Its totient is φ = 33223340232.

The previous prime is 33223340179. The next prime is 33223340291. The reversal of 33223340233 is 33204332233.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32054247369 + 1169092864 = 179037^2 + 34192^2 .

It is a cyclic number.

It is not a de Polignac number, because 33223340233 - 217 = 33223209161 is a prime.

It is a super-2 number, since 2×332233402332 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33223340333) 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, 16611670116 + 16611670117.

It is an arithmetic number, because the mean of its divisors is an integer number (16611670117).

Almost surely, 233223340233 is an apocalyptic number.

It is an amenable number.

33223340233 is a deficient number, since it is larger than the sum of its proper divisors (1).

33223340233 is an equidigital number, since it uses as much as digits as its factorization.

33223340233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 28.

Adding to 33223340233 its reverse (33204332233), we get a palindrome (66427672466).

The spelling of 33223340233 in words is "thirty-three billion, two hundred twenty-three million, three hundred forty thousand, two hundred thirty-three".