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2805022116 = 2233132313491
BaseRepresentation
bin1010011100110001…
…0011110110100100
321020111010212222000
42213030103312210
521221041201431
61142201205300
7126340203021
oct24714236644
97214125860
102805022116
11120a3a86a6
12663490830
13359198100
141c8770548
151163cc9e6
hexa7313da4

2805022116 has 144 divisors (see below), whose sum is σ = 7915965120. Its totient is φ = 858574080.

The previous prime is 2805022091. The next prime is 2805022123. The reversal of 2805022116 is 6112205082.

It is a happy number.

2805022116 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2805022116.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5712631 + ... + 5713121.

It is an arithmetic number, because the mean of its divisors is an integer number (54971980).

Almost surely, 22805022116 is an apocalyptic number.

2805022116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2805022116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957982560).

2805022116 is an abundant number, since it is smaller than the sum of its proper divisors (5110943004).

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

2805022116 is a wasteful number, since it uses less digits than its factorization.

2805022116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2805022116 is about 52962.4594972703. The cubic root of 2805022116 is about 1410.3019181444.

Adding to 2805022116 its reverse (6112205082), we get a palindrome (8917227198).

The spelling of 2805022116 in words is "two billion, eight hundred five million, twenty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 313 338 351 468 491 507 626 676 702 939 982 1014 1252 1404 1473 1521 1878 1964 2028 2817 2946 3042 3756 4069 4419 4563 5634 5892 6084 6383 8138 8451 8838 9126 11268 12207 12766 13257 16276 16902 17676 18252 19149 24414 25532 26514 33804 36621 38298 48828 52897 53028 57447 73242 76596 82979 105794 109863 114894 146484 153683 158691 165958 172341 211588 219726 229788 248937 307366 317382 331916 344682 439452 461049 476073 497874 614732 634764 689364 746811 922098 952146 995748 1383147 1428219 1493622 1844196 1904292 1997879 2240433 2766294 2856438 2987244 3995758 4149441 4480866 5532588 5712876 5993637 7991516 8298882 8961732 11987274 16597764 17980911 23974548 25972427 35961822 51944854 53942733 71923644 77917281 103889708 107885466 155834562 215770932 233751843 311669124 467503686 701255529 935007372 1402511058 2805022116