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2266355130 = 235133126047
BaseRepresentation
bin1000011100010101…
…1101010110111010
312211221112202202220
42013011131112322
514120141331010
61012515504510
7110106462234
oct20705352672
95757482686
102266355130
11a63331176
12532bb8136
132a16c5150
14176dd1254
15d3e77970
hex8715d5ba

2266355130 has 96 divisors (see below), whose sum is σ = 6053709312. Its totient is φ = 539786880.

The previous prime is 2266355129. The next prime is 2266355159. The reversal of 2266355130 is 315536622.

It is a junction number, because it is equal to n+sod(n) for n = 2266355091 and 2266355100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371767 + ... + 377813.

It is an arithmetic number, because the mean of its divisors is an integer number (63059472).

Almost surely, 22266355130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2266355130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026854656).

2266355130 is an abundant number, since it is smaller than the sum of its proper divisors (3787354182).

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

2266355130 is a wasteful number, since it uses less digits than its factorization.

2266355130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 2266355130 is about 47606.2509551004. The cubic root of 2266355130 is about 1313.5380399445.

The spelling of 2266355130 in words is "two billion, two hundred sixty-six million, three hundred fifty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 961 1209 1922 2015 2418 2883 4030 4805 5766 6045 6047 9610 12090 12094 12493 14415 18141 24986 28830 30235 36282 37479 60470 62465 74958 78611 90705 124930 157222 181410 187395 187457 235833 374790 374914 393055 471666 562371 786110 937285 1124742 1179165 1874570 2358330 2436941 2811855 4873882 5623710 5811167 7310823 11622334 12184705 14621646 17433501 24369410 29055835 34867002 36554115 58111670 73108230 75545171 87167505 151090342 174335010 226635513 377725855 453271026 755451710 1133177565 2266355130