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286055220 = 2235111632659
BaseRepresentation
bin10001000011001…
…101101100110100
3201221021002222210
4101003031230310
51041212231340
644215053420
710042300143
oct2103155464
9657232883
10286055220
1113751a580
127b971270
1347357859
1429dc375a
151a1a7180
hex110cdb34

286055220 has 96 divisors (see below), whose sum is σ = 879459840. Its totient is φ = 68895360.

The previous prime is 286055201. The next prime is 286055239. The reversal of 286055220 is 22550682.

It is an interprime number because it is at equal distance from previous prime (286055201) and next prime (286055239).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 106251 + ... + 108909.

It is an arithmetic number, because the mean of its divisors is an integer number (9161040).

Almost surely, 2286055220 is an apocalyptic number.

286055220 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 286055220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439729920).

286055220 is an abundant number, since it is smaller than the sum of its proper divisors (593404620).

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

286055220 is a wasteful number, since it uses less digits than its factorization.

286055220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 286055220 is about 16913.1670600157. The cubic root of 286055220 is about 658.8956278420.

The spelling of 286055220 in words is "two hundred eighty-six million, fifty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 163 165 220 326 330 489 652 660 815 978 1630 1793 1956 2445 2659 3260 3586 4890 5318 5379 7172 7977 8965 9780 10636 10758 13295 15954 17930 21516 26590 26895 29249 31908 35860 39885 53180 53790 58498 79770 87747 107580 116996 146245 159540 175494 292490 350988 433417 438735 584980 866834 877470 1300251 1733668 1754940 2167085 2600502 4334170 4767587 5201004 6501255 8668340 9535174 13002510 14302761 19070348 23837935 26005020 28605522 47675870 57211044 71513805 95351740 143027610 286055220