Search a number
-
+
221422047266041 is a prime number
BaseRepresentation
bin110010010110000111010110…
…011110010000010011111001
31002000222202000011220111222221
4302112013112132100103321
5213010234323100003131
62102531514555444041
764432133513555146
oct6226072636202371
91060882004814887
10221422047266041
11646086212479a6
1220a010ab756621
139672017a3a61b
143c96c546133cd
151a8ea678ed411
hexc961d67904f9

221422047266041 has 2 divisors, whose sum is σ = 221422047266042. Its totient is φ = 221422047266040.

The previous prime is 221422047265963. The next prime is 221422047266047. The reversal of 221422047266041 is 140662740224122.

221422047266041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 160266206417641 + 61155840848400 = 12659629^2 + 7820220^2 .

It is a cyclic number.

It is not a de Polignac number, because 221422047266041 - 213 = 221422047257849 is a prime.

It is not a weakly prime, because it can be changed into another prime (221422047266047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110711023633020 + 110711023633021.

It is an arithmetic number, because the mean of its divisors is an integer number (110711023633021).

Almost surely, 2221422047266041 is an apocalyptic number.

It is an amenable number.

221422047266041 is a deficient number, since it is larger than the sum of its proper divisors (1).

221422047266041 is an equidigital number, since it uses as much as digits as its factorization.

221422047266041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 221422047266041 in words is "two hundred twenty-one trillion, four hundred twenty-two billion, forty-seven million, two hundred sixty-six thousand, forty-one".