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7983800220 = 22351125320749
BaseRepresentation
bin1110110111101111…
…10001111110011100
3202121101221001222110
413123313301332130
5112322323101340
63400120314020
7401563116324
oct73367617634
922541831873
107983800220
113427713300
121669912910
139a3090656
1455a48c284
1531ad9a680
hex1dbdf1f9c

7983800220 has 144 divisors (see below), whose sum is σ = 25036452000. Its totient is φ = 1898856960.

The previous prime is 7983800203. The next prime is 7983800257. The reversal of 7983800220 is 220083897.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374406 + ... + 395154.

It is an arithmetic number, because the mean of its divisors is an integer number (173864250).

Almost surely, 27983800220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7983800220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12518226000).

7983800220 is an abundant number, since it is smaller than the sum of its proper divisors (17052651780).

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

7983800220 is a wasteful number, since it uses less digits than its factorization.

7983800220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20836 (or 20823 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 7983800220 is about 89352.1136851278. The cubic root of 7983800220 is about 1998.6491060816.

The spelling of 7983800220 in words is "seven billion, nine hundred eighty-three million, eight hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 110 121 132 159 165 212 220 242 265 318 330 363 484 530 583 605 636 660 726 795 1060 1166 1210 1452 1590 1749 1815 2332 2420 2915 3180 3498 3630 5830 6413 6996 7260 8745 11660 12826 17490 19239 20749 25652 32065 34980 38478 41498 62247 64130 76956 82996 96195 103745 124494 128260 192390 207490 228239 248988 311235 384780 414980 456478 622470 684717 912956 1099697 1141195 1244940 1369434 2199394 2282390 2510629 2738868 3299091 3423585 4398788 4564780 5021258 5498485 6598182 6847170 7531887 10042516 10996970 12096667 12553145 13196364 13694340 15063774 16495455 21993940 24193334 25106290 30127548 32990910 36290001 37659435 48386668 50212580 60483335 65981820 72580002 75318870 120966670 133063337 145160004 150637740 181450005 241933340 266126674 362900010 399190011 532253348 665316685 725800020 798380022 1330633370 1596760044 1995950055 2661266740 3991900110 7983800220