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22032003329 = 72779357697
BaseRepresentation
bin10100100001001101…
…011011000100000001
32002212110002201210022
4110201031123010001
5330110143101304
614042114143225
71406654636600
oct244115330401
962773081708
1022032003329
119386545216
12432a581b15
132101678a7b
1410d0111a37
1588e350ebe
hex52135b101

22032003329 has 12 divisors (see below), whose sum is σ = 25632798084. Its totient is φ = 18881823744.

The previous prime is 22032003317. The next prime is 22032003359. The reversal of 22032003329 is 92330023022.

It can be written as a sum of positive squares in 2 ways, for example, as 21330018304 + 701985025 = 146048^2 + 26495^2 .

It is not a de Polignac number, because 22032003329 - 28 = 22032003073 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22032003298 and 22032003307.

It is not an unprimeable number, because it can be changed into a prime (22032003359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353009 + ... + 410705.

It is an arithmetic number, because the mean of its divisors is an integer number (2136066507).

Almost surely, 222032003329 is an apocalyptic number.

It is an amenable number.

22032003329 is a deficient number, since it is larger than the sum of its proper divisors (3600794755).

22032003329 is an equidigital number, since it uses as much as digits as its factorization.

22032003329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65504 (or 65497 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The spelling of 22032003329 in words is "twenty-two billion, thirty-two million, three thousand, three hundred twenty-nine".

Divisors: 1 7 49 7793 54551 57697 381857 403879 2827153 449632721 3147429047 22032003329