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22111424334 = 2333735232099
BaseRepresentation
bin10100100101111100…
…011000111101001110
32010001222112201221000
4110211330120331032
5330241011034314
614054032321130
71411641001656
oct244574307516
963058481830
1022111424334
11941736040a
1243510a31a6
132114c6574c
1410da8a7366
158962dd209
hex525f18f4e

22111424334 has 64 divisors (see below), whose sum is σ = 49385952000. Its totient is φ = 7333164576.

The previous prime is 22111424333. The next prime is 22111424341. The reversal of 22111424334 is 43342411122.

22111424334 is a `hidden beast` number, since 2 + 211 + 14 + 2 + 433 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22111424298 and 22111424307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111424333) 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 31 ways as a sum of consecutive naturals, for example, 10533217 + ... + 10535315.

It is an arithmetic number, because the mean of its divisors is an integer number (771655500).

Almost surely, 222111424334 is an apocalyptic number.

22111424334 is an abundant number, since it is smaller than the sum of its proper divisors (27274527666).

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

22111424334 is a wasteful number, since it uses less digits than its factorization.

22111424334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 3000 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 22111424334 its reverse (43342411122), we get a palindrome (65453835456).

The spelling of 22111424334 in words is "twenty-two billion, one hundred eleven million, four hundred twenty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 373 523 746 1046 1119 1569 2099 2238 3138 3357 4198 4707 6297 6714 9414 10071 12594 14121 18891 20142 28242 37782 56673 113346 195079 390158 585237 782927 1097777 1170474 1565854 1755711 2195554 2348781 3293331 3511422 4697562 5267133 6586662 7046343 9879993 10534266 14092686 19759986 21139029 29639979 42278058 59279958 409470821 818941642 1228412463 2456824926 3685237389 7370474778 11055712167 22111424334