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2182843980 = 22325231035119
BaseRepresentation
bin1000001000011011…
…1000111001001100
312122010101222000100
42002012320321030
513432302001410
61000333531100
7105043603422
oct20206707114
95563358010
102182843980
11a20181a99
1250b043a90
1328a305875
14169c93112
15cb97d8c0
hex821b8e4c

2182843980 has 144 divisors (see below), whose sum is σ = 6977617920. Its totient is φ = 551270016.

The previous prime is 2182843969. The next prime is 2182843997. The reversal of 2182843980 is 893482812.

2182843980 is a `hidden beast` number, since 2 + 182 + 84 + 398 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 423861 + ... + 428979.

It is an arithmetic number, because the mean of its divisors is an integer number (48455680).

Almost surely, 22182843980 is an apocalyptic number.

2182843980 is a gapful number since it is divisible by the number (20) 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 2182843980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488808960).

2182843980 is an abundant number, since it is smaller than the sum of its proper divisors (4794773940).

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

2182843980 is a wasteful number, since it uses less digits than its factorization.

2182843980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2182843980 is about 46720.9158728722. The cubic root of 2182843980 is about 1297.2018671941.

The spelling of 2182843980 in words is "two billion, one hundred eighty-two million, eight hundred forty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 103 115 138 180 206 207 230 276 309 345 412 414 460 515 618 690 828 927 1030 1035 1236 1380 1545 1854 2060 2070 2369 3090 3708 4140 4635 4738 5119 6180 7107 9270 9476 10238 11845 14214 15357 18540 20476 21321 23690 25595 28428 30714 35535 42642 46071 47380 51190 61428 71070 76785 85284 92142 102380 106605 117737 142140 153570 184284 213210 230355 235474 307140 353211 426420 460710 470948 527257 588685 706422 921420 1054514 1059633 1177370 1412844 1581771 1766055 2109028 2119266 2354740 2636285 3163542 3532110 4238532 4745313 5272570 5298165 6327084 7064220 7908855 9490626 10545140 10596330 12126911 15817710 18981252 21192660 23726565 24253822 31635420 36380733 47453130 48507644 60634555 72761466 94906260 109142199 121269110 145522932 181903665 218284398 242538220 363807330 436568796 545710995 727614660 1091421990 2182843980