Search a number
-
+
221442838241 is a prime number
BaseRepresentation
bin1100111000111100000…
…1011000111011100001
3210011120201202201201112
43032033001120323201
512112003331310431
6245421320313105
721666363032252
oct3161701307341
9704521681645
10221442838241
1185a05788a19
1236b00912795
1317b608c3c41
14aa09c6ab29
155b60be7c2b
hex338f058ee1

221442838241 has 2 divisors, whose sum is σ = 221442838242. Its totient is φ = 221442838240.

The previous prime is 221442838207. The next prime is 221442838259. The reversal of 221442838241 is 142838244122.

It is a happy number.

221442838241 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., 195611598400 + 25831239841 = 442280^2 + 160721^2 .

It is a cyclic number.

It is not a de Polignac number, because 221442838241 - 218 = 221442576097 is a prime.

It is not a weakly prime, because it can be changed into another prime (221442838261) 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, 110721419120 + 110721419121.

It is an arithmetic number, because the mean of its divisors is an integer number (110721419121).

Almost surely, 2221442838241 is an apocalyptic number.

It is an amenable number.

221442838241 is a deficient number, since it is larger than the sum of its proper divisors (1).

221442838241 is an equidigital number, since it uses as much as digits as its factorization.

221442838241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 196608, while the sum is 41.

The spelling of 221442838241 in words is "two hundred twenty-one billion, four hundred forty-two million, eight hundred thirty-eight thousand, two hundred forty-one".