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233222029993 is a prime number
BaseRepresentation
bin1101100100110100011…
…1011100001010101001
3211021222122101200002201
43121031013130022221
512310114314424433
6255050221300201
722564313355211
oct3311507341251
9737878350081
10233222029993
118a9aa835037
1239249704661
1318cba0971a4
14b40640b241
1560eed9da7d
hex364d1dc2a9

233222029993 has 2 divisors, whose sum is σ = 233222029994. Its totient is φ = 233222029992.

The previous prime is 233222029991. The next prime is 233222030023. The reversal of 233222029993 is 399920222332.

233222029993 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., 136269507609 + 96952522384 = 369147^2 + 311372^2 .

It is a cyclic number.

It is not a de Polignac number, because 233222029993 - 21 = 233222029991 is a prime.

Together with 233222029991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (233222029991) 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, 116611014996 + 116611014997.

It is an arithmetic number, because the mean of its divisors is an integer number (116611014997).

Almost surely, 2233222029993 is an apocalyptic number.

It is an amenable number.

233222029993 is a deficient number, since it is larger than the sum of its proper divisors (1).

233222029993 is an equidigital number, since it uses as much as digits as its factorization.

233222029993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 629856, while the sum is 46.

The spelling of 233222029993 in words is "two hundred thirty-three billion, two hundred twenty-two million, twenty-nine thousand, nine hundred ninety-three".