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228569667120 = 243251916708309
BaseRepresentation
bin1101010011011111010…
…0000101011000110000
3210211222102011011000200
43110313310011120300
512221102313321440
6253000425115200
722341112054104
oct3246764053060
9724872134020
10228569667120
1188a32688a43
123836b628b00
1318728275152
14b0c459d904
155e2b715c30
hex3537d05630

228569667120 has 120 divisors (see below), whose sum is σ = 808013871600. Its totient is φ = 57743912448.

The previous prime is 228569667119. The next prime is 228569667133. The reversal of 228569667120 is 21766965822.

228569667120 is a `hidden beast` number, since 2 + 2 + 8 + 569 + 6 + 6 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8340475 + ... + 8367834.

It is an arithmetic number, because the mean of its divisors is an integer number (6733448930).

Almost surely, 2228569667120 is an apocalyptic number.

228569667120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228569667120 is an abundant number, since it is smaller than the sum of its proper divisors (579444204480).

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

228569667120 is a wasteful number, since it uses less digits than its factorization.

228569667120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16708347 (or 16708338 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 228569667120 in words is "two hundred twenty-eight billion, five hundred sixty-nine million, six hundred sixty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 16708309 33416618 50124927 66833236 83541545 100249854 133666472 150374781 167083090 200499708 250624635 267332944 300749562 317457871 334166180 400999416 501249270 601499124 634915742 668332360 751873905 801998832 952373613 1002498540 1202998248 1269831484 1336664720 1503747810 1587289355 1904747226 2004997080 2405996496 2539662968 2857120839 3007495620 3174578710 3809494452 4009994160 4761868065 5079325936 5714241678 6014991240 6349157420 7618988904 9523736130 11428483356 12029982480 12698314840 14285604195 15237977808 19047472260 22856966712 25396629680 28571208390 38094944520 45713933424 57142416780 76189889040 114284833560 228569667120