Search a number
-
+
223220164467281 is a prime number
BaseRepresentation
bin110010110000010001111110…
…100111000001101001010001
31002021100122021001122121010012
4302300101332213001221101
5213224214344100423111
62110425532231444305
765006060523601052
oct6260217647015121
91067318231577105
10223220164467281
116514115a55aa53
1221051691526695
139772756b92507
143d19cb0d14729
151ac1706ee548b
hexcb047e9c1a51

223220164467281 has 2 divisors, whose sum is σ = 223220164467282. Its totient is φ = 223220164467280.

The previous prime is 223220164467269. The next prime is 223220164467367. The reversal of 223220164467281 is 182764461022322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112166315539600 + 111053848927681 = 10590860^2 + 10538209^2 .

It is a cyclic number.

It is not a de Polignac number, because 223220164467281 - 26 = 223220164467217 is a prime.

It is a super-3 number, since 3×2232201644672813 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (223220164467481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111610082233640 + 111610082233641.

It is an arithmetic number, because the mean of its divisors is an integer number (111610082233641).

Almost surely, 2223220164467281 is an apocalyptic number.

It is an amenable number.

223220164467281 is a deficient number, since it is larger than the sum of its proper divisors (1).

223220164467281 is an equidigital number, since it uses as much as digits as its factorization.

223220164467281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3096576, while the sum is 50.

The spelling of 223220164467281 in words is "two hundred twenty-three trillion, two hundred twenty billion, one hundred sixty-four million, four hundred sixty-seven thousand, two hundred eighty-one".