Search a number
-
+
222202012073 is a prime number
BaseRepresentation
bin1100111011110001000…
…1011010000110101001
3210020112122021202102212
43032330101122012221
512120032203341243
6250024520134505
722024241640116
oct3167421320651
9706478252385
10222202012073
1186265274508
1237093007435
1317c51c81222
14aa7ca0990d
155ba76a8318
hex33bc45a1a9

222202012073 has 2 divisors, whose sum is σ = 222202012074. Its totient is φ = 222202012072.

The previous prime is 222202011973. The next prime is 222202012093. The reversal of 222202012073 is 370210202222.

222202012073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143559905449 + 78642106624 = 378893^2 + 280432^2 .

It is a cyclic number.

It is not a de Polignac number, because 222202012073 - 210 = 222202011049 is a prime.

It is not a weakly prime, because it can be changed into another prime (222202012093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111101006036 + 111101006037.

It is an arithmetic number, because the mean of its divisors is an integer number (111101006037).

Almost surely, 2222202012073 is an apocalyptic number.

It is an amenable number.

222202012073 is a deficient number, since it is larger than the sum of its proper divisors (1).

222202012073 is an equidigital number, since it uses as much as digits as its factorization.

222202012073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 23.

Adding to 222202012073 its reverse (370210202222), we get a palindrome (592412214295).

The spelling of 222202012073 in words is "two hundred twenty-two billion, two hundred two million, twelve thousand, seventy-three".