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223232330093 is a prime number
BaseRepresentation
bin1100111111100110101…
…1110000100101101101
3210100012110000100001112
43033321223300211231
512124134434030333
6250315043321405
722061622332543
oct3177153604555
9710173010045
10223232330093
1186743915703
1237320080265
1318087575066
14ab397a9d93
155c17d77948
hex33f9af096d

223232330093 has 2 divisors, whose sum is σ = 223232330094. Its totient is φ = 223232330092.

The previous prime is 223232330081. The next prime is 223232330107. The reversal of 223232330093 is 390033232322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222796272169 + 436057924 = 472013^2 + 20882^2 .

It is a cyclic number.

It is not a de Polignac number, because 223232330093 - 212 = 223232325997 is a prime.

It is a super-3 number, since 3×2232323300933 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223232330593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111616165046 + 111616165047.

It is an arithmetic number, because the mean of its divisors is an integer number (111616165047).

Almost surely, 2223232330093 is an apocalyptic number.

It is an amenable number.

223232330093 is a deficient number, since it is larger than the sum of its proper divisors (1).

223232330093 is an equidigital number, since it uses as much as digits as its factorization.

223232330093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 32.

The spelling of 223232330093 in words is "two hundred twenty-three billion, two hundred thirty-two million, three hundred thirty thousand, ninety-three".