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2284304868 = 2233197115679
BaseRepresentation
bin1000100000100111…
…1011100111100100
312220012022201012000
42020021323213210
514134240223433
61014400325300
7110415161646
oct21011734744
95805281160
102284304868
11a7248106a
12539013830
132a533b2b1
14179544896
15d5821113
hex8827b9e4

2284304868 has 96 divisors (see below), whose sum is σ = 6322176000. Its totient is φ = 711154080.

The previous prime is 2284304837. The next prime is 2284304917. The reversal of 2284304868 is 8684034822.

2284304868 is a `hidden beast` number, since 2 + 284 + 304 + 8 + 68 = 666.

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, 137853 + ... + 153531.

It is an arithmetic number, because the mean of its divisors is an integer number (65856000).

Almost surely, 22284304868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2284304868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161088000).

2284304868 is an abundant number, since it is smaller than the sum of its proper divisors (4037871132).

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

2284304868 is a wasteful number, since it uses less digits than its factorization.

2284304868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15782 (or 15774 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 2284304868 is about 47794.4020571447. The cubic root of 2284304868 is about 1316.9967050732.

The spelling of 2284304868 in words is "two billion, two hundred eighty-four million, three hundred four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 71 76 108 114 142 171 213 228 284 342 426 513 639 684 852 1026 1278 1349 1917 2052 2556 2698 3834 4047 5396 7668 8094 12141 15679 16188 24282 31358 36423 47037 48564 62716 72846 94074 141111 145692 188148 282222 297901 423333 564444 595802 846666 893703 1113209 1191604 1693332 1787406 2226418 2681109 3339627 3574812 4452836 5362218 6679254 8043327 10018881 10724436 13358508 16086654 20037762 21150971 30056643 32173308 40075524 42301942 60113286 63452913 84603884 120226572 126905826 190358739 253811652 380717478 571076217 761434956 1142152434 2284304868