Search a number
-
+
222232312033 is a prime number
BaseRepresentation
bin1100111011111000010…
…0111111100011100001
3210020121202022011011121
43032332010333203201
512120112432441113
6250031521412241
722025060325154
oct3167604774341
9706552264147
10222232312033
118628038a2a6
12370a119a081
1317c5832c8b4
14aa82a55c9b
155baa190e8d
hex33be13f8e1

222232312033 has 2 divisors, whose sum is σ = 222232312034. Its totient is φ = 222232312032.

The previous prime is 222232311979. The next prime is 222232312067. The reversal of 222232312033 is 330213232222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200638597329 + 21593714704 = 447927^2 + 146948^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222232312033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222232311989 and 222232312007.

It is not a weakly prime, because it can be changed into another prime (222232312073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111116156016 + 111116156017.

It is an arithmetic number, because the mean of its divisors is an integer number (111116156017).

Almost surely, 2222232312033 is an apocalyptic number.

It is an amenable number.

222232312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

222232312033 is an equidigital number, since it uses as much as digits as its factorization.

222232312033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 222232312033 its reverse (330213232222), we get a palindrome (552445544255).

The spelling of 222232312033 in words is "two hundred twenty-two billion, two hundred thirty-two million, three hundred twelve thousand, thirty-three".