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820198284 = 22368349857
BaseRepresentation
bin110000111000110…
…011101110001100
32010011100101112020
4300320303232030
53134432321114
6213215410140
726216366433
oct6070635614
92104311466
10820198284
11390a87124
121aa823950
13100c05639
147ad0611a
154c016aa9
hex30e33b8c

820198284 has 12 divisors (see below), whose sum is σ = 1913796024. Its totient is φ = 273399424.

The previous prime is 820198283. The next prime is 820198349. The reversal of 820198284 is 482891028.

820198284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (820198283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34174917 + ... + 34174940.

It is an arithmetic number, because the mean of its divisors is an integer number (159483002).

Almost surely, 2820198284 is an apocalyptic number.

It is an amenable number.

820198284 is an abundant number, since it is smaller than the sum of its proper divisors (1093597740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820198284 is a wasteful number, since it uses less digits than its factorization.

820198284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68349864 (or 68349862 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 820198284 is about 28639.1041060994. The cubic root of 820198284 is about 936.0656000849.

The spelling of 820198284 in words is "eight hundred twenty million, one hundred ninety-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 68349857 136699714 205049571 273399428 410099142 820198284