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229558683361 = 728952639001
BaseRepresentation
bin1101010111001011000…
…0111000011011100001
3210221112100011101020211
43111302300320123201
512230114010331421
6253242515134121
722404451420300
oct3256260703341
9727470141224
10229558683361
118939a98a537
12385a68a4341
1318855137a67
14b179a8c437
155e884779e1
hex3572c386e1

229558683361 has 12 divisors (see below), whose sum is σ = 270038080260. Its totient is φ = 194553744000.

The previous prime is 229558683359. The next prime is 229558683379. The reversal of 229558683361 is 163386855922.

229558683361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40594593361 + 188964090000 = 201481^2 + 434700^2 .

It is not a de Polignac number, because 229558683361 - 21 = 229558683359 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 229558683296 and 229558683305.

It is not an unprimeable number, because it can be changed into a prime (229558683461) 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 in 11 ways as a sum of consecutive naturals, for example, 26315140 + ... + 26323861.

It is an arithmetic number, because the mean of its divisors is an integer number (22503173355).

Almost surely, 2229558683361 is an apocalyptic number.

It is an amenable number.

229558683361 is a deficient number, since it is larger than the sum of its proper divisors (40479396899).

229558683361 is an equidigital number, since it uses as much as digits as its factorization.

229558683361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52639104 (or 52639097 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 58.

The spelling of 229558683361 in words is "two hundred twenty-nine billion, five hundred fifty-eight million, six hundred eighty-three thousand, three hundred sixty-one".

Divisors: 1 7 49 89 623 4361 52639001 368473007 2579311049 4684871089 32794097623 229558683361