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2283436740 = 2235132435237
BaseRepresentation
bin1000100000011010…
…0111101011000100
312220010200121100010
42020012213223010
514134024433430
61014325550220
7110404614654
oct21006475304
95803617303
102283436740
11a71a38902
12538875370
132a50c6100
1417939a364
15d56edcb0
hex881a7ac4

2283436740 has 144 divisors (see below), whose sum is σ = 7085631168. Its totient is φ = 548900352.

The previous prime is 2283436709. The next prime is 2283436769. The reversal of 2283436740 is 476343822.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 433402 + ... + 438638.

It is an arithmetic number, because the mean of its divisors is an integer number (49205772).

Almost surely, 22283436740 is an apocalyptic number.

2283436740 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 2283436740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542815584).

2283436740 is an abundant number, since it is smaller than the sum of its proper divisors (4802194428).

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

2283436740 is a wasteful number, since it uses less digits than its factorization.

2283436740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 2283436740 is about 47785.3192936910. The cubic root of 2283436740 is about 1316.8298466417.

The spelling of 2283436740 in words is "two billion, two hundred eighty-three million, four hundred thirty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 169 172 195 215 258 260 338 390 430 507 516 559 645 676 780 845 860 1014 1118 1290 1677 1690 2028 2236 2535 2580 2795 3354 3380 5070 5237 5590 6708 7267 8385 10140 10474 11180 14534 15711 16770 20948 21801 26185 29068 31422 33540 36335 43602 52370 62844 68081 72670 78555 87204 104740 109005 136162 145340 157110 204243 218010 225191 272324 314220 340405 408486 436020 450382 675573 680810 816972 885053 900764 1021215 1125955 1351146 1361620 1770106 2042430 2251910 2655159 2702292 2927483 3377865 3540212 4084860 4425265 4503820 5310318 5854966 6755730 8782449 8850530 10620636 11709932 13275795 13511460 14637415 17564898 17701060 26551590 29274830 35129796 38057279 43912245 53103180 58549660 76114558 87824490 114171837 152229116 175648980 190286395 228343674 380572790 456687348 570859185 761145580 1141718370 2283436740