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222232123033 is a prime number
BaseRepresentation
bin1100111011111000010…
…0010001011010011001
3210020121201221112220121
43032332010101122121
512120112410414113
6250031513353241
722025055610144
oct3167604213231
9706551845817
10222232123033
11862802702a8
12370a1108821
1317c5829486b
14aa82a0705b
155baa154e8d
hex33be111699

222232123033 has 2 divisors, whose sum is σ = 222232123034. Its totient is φ = 222232123032.

The previous prime is 222232122997. The next prime is 222232123067. The reversal of 222232123033 is 330321232222.

222232123033 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., 199623091264 + 22609031769 = 446792^2 + 150363^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222232123033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222232122989 and 222232123007.

It is not a weakly prime, because it can be changed into another prime (222232123933) 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, 111116061516 + 111116061517.

It is an arithmetic number, because the mean of its divisors is an integer number (111116061517).

Almost surely, 2222232123033 is an apocalyptic number.

It is an amenable number.

222232123033 is a deficient number, since it is larger than the sum of its proper divisors (1).

222232123033 is an equidigital number, since it uses as much as digits as its factorization.

222232123033 is an odious number, because the sum of its binary digits is odd.

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

Adding to 222232123033 its reverse (330321232222), we get a palindrome (552553355255).

The spelling of 222232123033 in words is "two hundred twenty-two billion, two hundred thirty-two million, one hundred twenty-three thousand, thirty-three".