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221200093 is a prime number
BaseRepresentation
bin11010010111100…
…11111011011101
3120102020010111001
431023303323131
5423111400333
633541030301
75324112142
oct1513637335
9512203431
10221200093
111039529a4
12620b5391
1336a9aa3a
14215403c9
1514645b7d
hexd2f3edd

221200093 has 2 divisors, whose sum is σ = 221200094. Its totient is φ = 221200092.

The previous prime is 221200069. The next prime is 221200121. The reversal of 221200093 is 390002122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209728324 + 11471769 = 14482^2 + 3387^2 .

It is a cyclic number.

It is not a de Polignac number, because 221200093 - 217 = 221069021 is a prime.

It is a super-2 number, since 2×2212000932 = 97858962286417298, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221200093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221200193) 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, 110600046 + 110600047.

It is an arithmetic number, because the mean of its divisors is an integer number (110600047).

Almost surely, 2221200093 is an apocalyptic number.

It is an amenable number.

221200093 is a deficient number, since it is larger than the sum of its proper divisors (1).

221200093 is an equidigital number, since it uses as much as digits as its factorization.

221200093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 221200093 is about 14872.7970805763. The cubic root of 221200093 is about 604.7767707737.

The spelling of 221200093 in words is "two hundred twenty-one million, two hundred thousand, ninety-three".