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220008904849 is a prime number
BaseRepresentation
bin1100110011100110001…
…1010111100010010001
3210000212210120100220101
43030321203113202101
512101034234423344
6245023134212401
721616011556366
oct3147143274221
9700783510811
10220008904849
118533a3225a8
1236780654101
13179927c4046
14a91164446d
155ac9d9d9d4
hex33398d7891

220008904849 has 2 divisors, whose sum is σ = 220008904850. Its totient is φ = 220008904848.

The previous prime is 220008904831. The next prime is 220008904877. The reversal of 220008904849 is 948409800022.

220008904849 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., 118291284225 + 101717620624 = 343935^2 + 318932^2 .

It is a cyclic number.

It is not a de Polignac number, because 220008904849 - 211 = 220008902801 is a prime.

It is a super-3 number, since 3×2200089048493 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220008904799 and 220008904808.

It is not a weakly prime, because it can be changed into another prime (220008907849) 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, 110004452424 + 110004452425.

It is an arithmetic number, because the mean of its divisors is an integer number (110004452425).

Almost surely, 2220008904849 is an apocalyptic number.

It is an amenable number.

220008904849 is a deficient number, since it is larger than the sum of its proper divisors (1).

220008904849 is an equidigital number, since it uses as much as digits as its factorization.

220008904849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 220008904849 in words is "two hundred twenty billion, eight million, nine hundred four thousand, eight hundred forty-nine".