Search a number
-
+
233022827249 is a prime number
BaseRepresentation
bin1101100100000100111…
…1100010101011110001
3211021110202120010022022
43121001033202223301
512304212320432444
6255014343521225
722556344231202
oct3310117425361
9737422503268
10233022827249
118a908347073
12391b2a59215
1318c87a2ba44
14b3c7b955a9
1560dc6509ee
hex36413e2af1

233022827249 has 2 divisors, whose sum is σ = 233022827250. Its totient is φ = 233022827248.

The previous prime is 233022827237. The next prime is 233022827263. The reversal of 233022827249 is 942728220332.

233022827249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217505640625 + 15517186624 = 466375^2 + 124568^2 .

It is a cyclic number.

It is not a de Polignac number, because 233022827249 - 220 = 233021778673 is a prime.

It is not a weakly prime, because it can be changed into another prime (233022827449) 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, 116511413624 + 116511413625.

It is an arithmetic number, because the mean of its divisors is an integer number (116511413625).

Almost surely, 2233022827249 is an apocalyptic number.

It is an amenable number.

233022827249 is a deficient number, since it is larger than the sum of its proper divisors (1).

233022827249 is an equidigital number, since it uses as much as digits as its factorization.

233022827249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 233022827249 in words is "two hundred thirty-three billion, twenty-two million, eight hundred twenty-seven thousand, two hundred forty-nine".