Search a number
-
+
2286685080 = 233452392953
BaseRepresentation
bin1000100001001100…
…0000101110011000
312220100210122020000
42020103000232120
514140342410310
61014523333000
7110444334231
oct21023005630
95810718200
102286685080
11a73857389
12539981160
132a59927c4
141799a4088
15d5b414c0
hex884c0b98

2286685080 has 160 divisors (see below), whose sum is σ = 7720574400. Its totient is φ = 607025664.

The previous prime is 2286685021. The next prime is 2286685091. The reversal of 2286685080 is 805866822.

2286685080 is a `hidden beast` number, since 2 + 2 + 86 + 68 + 508 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 772884 + ... + 775836.

It is an arithmetic number, because the mean of its divisors is an integer number (48253590).

Almost surely, 22286685080 is an apocalyptic number.

2286685080 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 2286685080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860287200).

2286685080 is an abundant number, since it is smaller than the sum of its proper divisors (5433889320).

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

2286685080 is a wasteful number, since it uses less digits than its factorization.

2286685080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2286685080 is about 47819.2961052335. The cubic root of 2286685080 is about 1317.4539766709.

The spelling of 2286685080 in words is "two billion, two hundred eighty-six million, six hundred eighty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 239 270 324 360 405 478 540 648 717 810 956 1080 1195 1434 1620 1912 2151 2390 2868 2953 3240 3585 4302 4780 5736 5906 6453 7170 8604 8859 9560 10755 11812 12906 14340 14765 17208 17718 19359 21510 23624 25812 26577 28680 29530 32265 35436 38718 43020 44295 51624 53154 59060 64530 70872 77436 79731 86040 88590 96795 106308 118120 129060 132885 154872 159462 177180 193590 212616 239193 258120 265770 318924 354360 387180 398655 478386 531540 637848 705767 774360 797310 956772 1063080 1195965 1411534 1594620 1913544 2117301 2391930 2823068 3189240 3528835 4234602 4783860 5646136 6351903 7057670 8469204 9567720 10586505 12703806 14115340 16938408 19055709 21173010 25407612 28230680 31759515 38111418 42346020 50815224 57167127 63519030 76222836 84692040 95278545 114334254 127038060 152445672 190557090 228668508 254076120 285835635 381114180 457337016 571671270 762228360 1143342540 2286685080