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223232000093 is a prime number
BaseRepresentation
bin1100111111100110101…
…0100000000001011101
3210100012102101120101022
43033321222200001131
512124134343000333
6250315032253525
722061616456464
oct3177152400135
9710172346338
10223232000093
118674370a783
123731bb412a5
131808748aaab
14ab397219db
155c17d0ec98
hex33f9aa005d

223232000093 has 2 divisors, whose sum is σ = 223232000094. Its totient is φ = 223232000092.

The previous prime is 223232000087. The next prime is 223232000111. The reversal of 223232000093 is 390000232322.

223232000093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190879862404 + 32352137689 = 436898^2 + 179867^2 .

It is a cyclic number.

It is not a de Polignac number, because 223232000093 - 210 = 223231999069 is a prime.

It is a super-3 number, since 3×2232320000933 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223232000003) 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, 111616000046 + 111616000047.

It is an arithmetic number, because the mean of its divisors is an integer number (111616000047).

Almost surely, 2223232000093 is an apocalyptic number.

It is an amenable number.

223232000093 is a deficient number, since it is larger than the sum of its proper divisors (1).

223232000093 is an equidigital number, since it uses as much as digits as its factorization.

223232000093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 26.

The spelling of 223232000093 in words is "two hundred twenty-three billion, two hundred thirty-two million, ninety-three", and thus it is an aban number.