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2262794380 = 2257112223599
BaseRepresentation
bin1000011011011111…
…1000000010001100
312211200211212100021
42012313320002030
514113233410010
61012311311524
7110034302110
oct20667700214
95750755307
102262794380
11a61319a00
1253197b5a4
132a0a494b2
14176745740
15d39c28da
hex86df808c

2262794380 has 144 divisors (see below), whose sum is σ = 6006067200. Its totient is φ = 700951680.

The previous prime is 2262794357. The next prime is 2262794383. The reversal of 2262794380 is 834972622.

It is not an unprimeable number, because it can be changed into a prime (2262794383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3777321 + ... + 3777919.

It is an arithmetic number, because the mean of its divisors is an integer number (41708800).

Almost surely, 22262794380 is an apocalyptic number.

2262794380 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 2262794380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003033600).

2262794380 is an abundant number, since it is smaller than the sum of its proper divisors (3743272820).

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

2262794380 is a wasteful number, since it uses less digits than its factorization.

2262794380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 2262794380 is about 47568.8383293097. The cubic root of 2262794380 is about 1312.8497641386.

The spelling of 2262794380 in words is "two billion, two hundred sixty-two million, seven hundred ninety-four thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 223 242 308 385 446 484 599 605 770 847 892 1115 1198 1210 1540 1561 1694 2230 2396 2420 2453 2995 3122 3388 4193 4235 4460 4906 5990 6244 6589 7805 8386 8470 9812 11980 12265 13178 15610 16772 16940 17171 20965 24530 26356 26983 31220 32945 34342 41930 46123 49060 53966 65890 68684 72479 83860 85855 92246 107932 131780 133577 134915 144958 171710 184492 188881 230615 267154 269830 289916 343420 362395 377762 461230 507353 534308 539660 667885 724790 755524 922460 935039 944405 1014706 1335770 1449580 1469347 1870078 1888810 2029412 2536765 2671540 2938694 3740156 3777620 4675195 5073530 5877388 7346735 9350390 10147060 10285429 14693470 16162817 18700780 20570858 29386940 32325634 41141716 51427145 64651268 80814085 102854290 113139719 161628170 205708580 226279438 323256340 452558876 565698595 1131397190 2262794380