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220332312232229 is a prime number
BaseRepresentation
bin110010000110010000011101…
…001101000000000100100101
31001220010120012200012001200002
4302012100131031000010211
5212334411033412412404
62100335133352031045
764260325044606551
oct6206203515000445
91056116180161602
10220332312232229
1164228455226a3a
1220865a65692485
1395c332b802352
143c5a1d8562861
151a715381e8c1e
hexc8641d340125

220332312232229 has 2 divisors, whose sum is σ = 220332312232230. Its totient is φ = 220332312232228.

The previous prime is 220332312232217. The next prime is 220332312232231. The reversal of 220332312232229 is 922232213233022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139658269644100 + 80674042588129 = 11817710^2 + 8981873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220332312232229 is a prime.

Together with 220332312232231, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 220332312232192 and 220332312232201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220332312232429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110166156116114 + 110166156116115.

It is an arithmetic number, because the mean of its divisors is an integer number (110166156116115).

Almost surely, 2220332312232229 is an apocalyptic number.

It is an amenable number.

220332312232229 is a deficient number, since it is larger than the sum of its proper divisors (1).

220332312232229 is an equidigital number, since it uses as much as digits as its factorization.

220332312232229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 38.

The spelling of 220332312232229 in words is "two hundred twenty trillion, three hundred thirty-two billion, three hundred twelve million, two hundred thirty-two thousand, two hundred twenty-nine".