Search a number
-
+
223122014041 is a prime number
BaseRepresentation
bin1100111111001100011…
…0111011111101011001
3210022220202102200212211
43033303012323331121
512123423213422131
6250300103035121
722056112553443
oct3176306737531
9708822380784
10223122014041
1186697618613
12372ab13baa1
131806a75bba4
14ab28c91493
155c0d3365b1
hex33f31bbf59

223122014041 has 2 divisors, whose sum is σ = 223122014042. Its totient is φ = 223122014040.

The previous prime is 223122014023. The next prime is 223122014047. The reversal of 223122014041 is 140410221322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220641575625 + 2480438416 = 469725^2 + 49804^2 .

It is a cyclic number.

It is not a de Polignac number, because 223122014041 - 215 = 223121981273 is a prime.

It is a super-3 number, since 3×2231220140413 (a number of 35 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 (223122014047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111561007020 + 111561007021.

It is an arithmetic number, because the mean of its divisors is an integer number (111561007021).

Almost surely, 2223122014041 is an apocalyptic number.

It is an amenable number.

223122014041 is a deficient number, since it is larger than the sum of its proper divisors (1).

223122014041 is an equidigital number, since it uses as much as digits as its factorization.

223122014041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 223122014041 its reverse (140410221322), we get a palindrome (363532235363).

The spelling of 223122014041 in words is "two hundred twenty-three billion, one hundred twenty-two million, fourteen thousand, forty-one".