Search a number
-
+
223187374079981 is a prime number
BaseRepresentation
bin110010101111110011011100…
…001001100111111111101101
31002021020111121211202022222022
4302233303130021213333231
5213223200220231024411
62110402510355555525
765003520122111213
oct6257633411477755
91067214554668868
10223187374079981
1165129263204713
122104725bbbbba5
13976c62c68768c
143d18480068cb3
151ac093842eedb
hexcafcdc267fed

223187374079981 has 2 divisors, whose sum is σ = 223187374079982. Its totient is φ = 223187374079980.

The previous prime is 223187374079977. The next prime is 223187374080019. The reversal of 223187374079981 is 189970473781322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205181015387881 + 18006358692100 = 14324141^2 + 4243390^2 .

It is a cyclic number.

It is not a de Polignac number, because 223187374079981 - 22 = 223187374079977 is a prime.

It is a super-3 number, since 3×2231873740799813 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223187374079911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111593687039990 + 111593687039991.

It is an arithmetic number, because the mean of its divisors is an integer number (111593687039991).

Almost surely, 2223187374079981 is an apocalyptic number.

It is an amenable number.

223187374079981 is a deficient number, since it is larger than the sum of its proper divisors (1).

223187374079981 is an equidigital number, since it uses as much as digits as its factorization.

223187374079981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256048128, while the sum is 71.

The spelling of 223187374079981 in words is "two hundred twenty-three trillion, one hundred eighty-seven billion, three hundred seventy-four million, seventy-nine thousand, nine hundred eighty-one".