Search a number
-
+
222122323193 is a prime number
BaseRepresentation
bin1100111011011110000…
…1011010110011111001
3210020100002100010211212
43032313201122303321
512114401303320233
6250012552132505
722022253411041
oct3166741326371
9706302303755
10222122323193
1186224296031
1237070397135
1317c3b5cc644
14aa721c4721
155ba06b6a48
hex33b785acf9

222122323193 has 2 divisors, whose sum is σ = 222122323194. Its totient is φ = 222122323192.

The previous prime is 222122323133. The next prime is 222122323207. The reversal of 222122323193 is 391323221222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125880911209 + 96241411984 = 354797^2 + 310228^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222122323193 is a prime.

It is not a weakly prime, because it can be changed into another prime (222122323133) 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, 111061161596 + 111061161597.

It is an arithmetic number, because the mean of its divisors is an integer number (111061161597).

Almost surely, 2222122323193 is an apocalyptic number.

It is an amenable number.

222122323193 is a deficient number, since it is larger than the sum of its proper divisors (1).

222122323193 is an equidigital number, since it uses as much as digits as its factorization.

222122323193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 32.

The spelling of 222122323193 in words is "two hundred twenty-two billion, one hundred twenty-two million, three hundred twenty-three thousand, one hundred ninety-three".