Search a number
-
+
220221012252223 is a prime number
BaseRepresentation
bin110010000100101000110011…
…001101010001011000111111
31001212201220220222122020222101
4302010220303031101120333
5212331100113114032343
62100212045243125531
764246304656441123
oct6204506315213077
91055656828566871
10220221012252223
11641952302a2694
12208483835138a7
1395b59a1ba6608
143c54a7a865583
151a6d6c1e16e4d
hexc84a3335163f

220221012252223 has 2 divisors, whose sum is σ = 220221012252224. Its totient is φ = 220221012252222.

The previous prime is 220221012252221. The next prime is 220221012252229. The reversal of 220221012252223 is 322252210122022.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 220221012252223 - 21 = 220221012252221 is a prime.

Together with 220221012252221, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 220221012252191 and 220221012252200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220221012252221) 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, 110110506126111 + 110110506126112.

It is an arithmetic number, because the mean of its divisors is an integer number (110110506126112).

Almost surely, 2220221012252223 is an apocalyptic number.

220221012252223 is a deficient number, since it is larger than the sum of its proper divisors (1).

220221012252223 is an equidigital number, since it uses as much as digits as its factorization.

220221012252223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 220221012252223 its reverse (322252210122022), we get a palindrome (542473222374245).

The spelling of 220221012252223 in words is "two hundred twenty trillion, two hundred twenty-one billion, twelve million, two hundred fifty-two thousand, two hundred twenty-three".