Search a number
-
+
221546985857 is a prime number
BaseRepresentation
bin1100111001010100111…
…0101011100110000001
3210011211222201222101122
43032111032223212001
512112212012021412
6245435520442025
722002066210521
oct3162516534601
9704758658348
10221546985857
1185a5955262a
1236b2b779315
1317b7935a552
14aa19a1b681
155b69e1b572
hex33953ab981

221546985857 has 2 divisors, whose sum is σ = 221546985858. Its totient is φ = 221546985856.

The previous prime is 221546985809. The next prime is 221546985883. The reversal of 221546985857 is 758589645122.

221546985857 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., 204343777936 + 17203207921 = 452044^2 + 131161^2 .

It is a cyclic number.

It is not a de Polignac number, because 221546985857 - 210 = 221546984833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221546985857.

It is not a weakly prime, because it can be changed into another prime (221546988857) 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, 110773492928 + 110773492929.

It is an arithmetic number, because the mean of its divisors is an integer number (110773492929).

Almost surely, 2221546985857 is an apocalyptic number.

It is an amenable number.

221546985857 is a deficient number, since it is larger than the sum of its proper divisors (1).

221546985857 is an equidigital number, since it uses as much as digits as its factorization.

221546985857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384000, while the sum is 62.

The spelling of 221546985857 in words is "two hundred twenty-one billion, five hundred forty-six million, nine hundred eighty-five thousand, eight hundred fifty-seven".