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808333122 = 233141105997
BaseRepresentation
bin110000001011100…
…010111101000010
32002100000120120210
4300023202331002
53123413124442
6212113214550
726013501222
oct6013427502
92070016523
10808333122
11385312703
121a6861456
13cb60cb2c
14794d8082
154ae7119c
hex302e2f42

808333122 has 32 divisors (see below), whose sum is σ = 1709535744. Its totient is φ = 254390400.

The previous prime is 808333121. The next prime is 808333151. The reversal of 808333122 is 221333808.

It is a super-3 number, since 3×8083331223 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 808333122.

It is not an unprimeable number, because it can be changed into a prime (808333121) 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 15 ways as a sum of consecutive naturals, for example, 45373 + ... + 60624.

It is an arithmetic number, because the mean of its divisors is an integer number (53422992).

Almost surely, 2808333122 is an apocalyptic number.

808333122 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

808333122 is an abundant number, since it is smaller than the sum of its proper divisors (901202622).

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

808333122 is a wasteful number, since it uses less digits than its factorization.

808333122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106074.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 808333122 is about 28431.1997988126. The cubic root of 808333122 is about 931.5298833407.

The spelling of 808333122 in words is "eight hundred eight million, three hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 31 41 62 82 93 123 186 246 1271 2542 3813 7626 105997 211994 317991 635982 3285907 4345877 6571814 8691754 9857721 13037631 19715442 26075262 134722187 269444374 404166561 808333122