Search a number
-
+
221646257673077 is a prime number
BaseRepresentation
bin110010011001011000001010…
…011101000101001101110101
31002001210011201210100022101102
4302121120022131011031311
5213022423013431014302
62103222515102535445
764454261613563216
oct6231301235051565
91061704653308342
10221646257673077
1164694717172256
1220a38643297585
13968a1c9b15023
143ca3a43c6140d
151a957db576702
hexc9960a745375

221646257673077 has 2 divisors, whose sum is σ = 221646257673078. Its totient is φ = 221646257673076.

The previous prime is 221646257672977. The next prime is 221646257673107. The reversal of 221646257673077 is 770376752646122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214716680529796 + 6929577143281 = 14653214^2 + 2632409^2 .

It is a cyclic number.

It is not a de Polignac number, because 221646257673077 - 224 = 221646240895861 is a prime.

It is a super-2 number, since 2×2216462576730772 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221646257673877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110823128836538 + 110823128836539.

It is an arithmetic number, because the mean of its divisors is an integer number (110823128836539).

Almost surely, 2221646257673077 is an apocalyptic number.

It is an amenable number.

221646257673077 is a deficient number, since it is larger than the sum of its proper divisors (1).

221646257673077 is an equidigital number, since it uses as much as digits as its factorization.

221646257673077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248935680, while the sum is 65.

The spelling of 221646257673077 in words is "two hundred twenty-one trillion, six hundred forty-six billion, two hundred fifty-seven million, six hundred seventy-three thousand, seventy-seven".