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223212212393 is a prime number
BaseRepresentation
bin1100111111100001111…
…1000001000010101001
3210100011001011020202112
43033320133001002221
512124114311244033
6250313044212105
722061256333422
oct3177037010251
9710131136675
10223212212393
1186733524a05
123731539a035
13180833501b1
14ab36c50649
155c16201c48
hex33f87c10a9

223212212393 has 2 divisors, whose sum is σ = 223212212394. Its totient is φ = 223212212392.

The previous prime is 223212212387. The next prime is 223212212411. The reversal of 223212212393 is 393212212322.

223212212393 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., 222469758889 + 742453504 = 471667^2 + 27248^2 .

It is a cyclic number.

It is not a de Polignac number, because 223212212393 - 220 = 223211163817 is a prime.

It is a super-3 number, since 3×2232122123933 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (223212212323) 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, 111606106196 + 111606106197.

It is an arithmetic number, because the mean of its divisors is an integer number (111606106197).

Almost surely, 2223212212393 is an apocalyptic number.

It is an amenable number.

223212212393 is a deficient number, since it is larger than the sum of its proper divisors (1).

223212212393 is an equidigital number, since it uses as much as digits as its factorization.

223212212393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 32.

The spelling of 223212212393 in words is "two hundred twenty-three billion, two hundred twelve million, two hundred twelve thousand, three hundred ninety-three".