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2282287240 = 2352329131653
BaseRepresentation
bin1000100000001000…
…1111000010001000
312220001112012112001
42020002033002020
514133231142430
61014245200344
7110362056442
oct21002170210
95801465461
102282287240
11a71323202
125384000b4
132a4ab2b2c
1417917b492
15d55733ca
hex8808f088

2282287240 has 128 divisors (see below), whose sum is σ = 5594054400. Its totient is φ = 835394560.

The previous prime is 2282287237. The next prime is 2282287289. The reversal of 2282287240 is 427822822.

It is a self number, because there is not a number n which added to its sum of digits gives 2282287240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3494754 + ... + 3495406.

It is an arithmetic number, because the mean of its divisors is an integer number (43703550).

Almost surely, 22282287240 is an apocalyptic number.

2282287240 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 2282287240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797027200).

2282287240 is an abundant number, since it is smaller than the sum of its proper divisors (3311767160).

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

2282287240 is a wasteful number, since it uses less digits than its factorization.

2282287240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 2282287240 is about 47773.2900269596. The cubic root of 2282287240 is about 1316.6088420545.

The spelling of 2282287240 in words is "two billion, two hundred eighty-two million, two hundred eighty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 131 145 184 230 232 262 290 460 524 580 653 655 667 920 1048 1160 1306 1310 1334 2612 2620 2668 3013 3265 3335 3799 5224 5240 5336 6026 6530 6670 7598 12052 13060 13340 15019 15065 15196 18937 18995 24104 26120 26680 30038 30130 30392 37874 37990 60076 60260 75095 75748 75980 85543 87377 94685 120152 120520 150190 151496 151960 171086 174754 189370 300380 342172 349508 378740 427715 435551 436885 600760 684344 699016 757480 855430 871102 873770 1710860 1742204 1747540 1967489 2177755 2480747 3421720 3484408 3495080 3934978 4355510 4961494 7869956 8711020 9837445 9922988 12403735 15739912 17422040 19674890 19845976 24807470 39349780 49614940 57057181 78699560 99229880 114114362 228228724 285285905 456457448 570571810 1141143620 2282287240