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223234222144440 = 233513709201831961
BaseRepresentation
bin110010110000011111000100…
…100000110011101110111000
31002021101222112202122120212210
4302300133010200303232320
5213224432141332110230
62110440215204335120
765010066062100423
oct6260370440635670
91067358482576783
10223234222144440
1165147113772961
12210543553a44a0
139773b87416c90
143d1a845d229ba
151ac1c7b21ceb0
hexcb07c4833bb8

223234222144440 has 128 divisors (see below), whose sum is σ = 722235492820800. Its totient is φ = 54872458629120.

The previous prime is 223234222144429. The next prime is 223234222144471. The reversal of 223234222144440 is 44441222432322.

It is a super-3 number, since 3×2232342221444403 (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99809941 + ... + 102022020.

Almost surely, 2223234222144440 is an apocalyptic number.

223234222144440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223234222144440 is an abundant number, since it is smaller than the sum of its proper divisors (499001270676360).

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

223234222144440 is a wasteful number, since it uses less digits than its factorization.

223234222144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201832697 (or 201832693 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 39.

Adding to 223234222144440 its reverse (44441222432322), we get a palindrome (267675444576762).

The spelling of 223234222144440 in words is "two hundred twenty-three trillion, two hundred thirty-four billion, two hundred twenty-two million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 709 780 1418 1560 2127 2836 3545 4254 5672 7090 8508 9217 10635 14180 17016 18434 21270 27651 28360 36868 42540 46085 55302 73736 85080 92170 110604 138255 184340 221208 276510 368680 553020 1106040 201831961 403663922 605495883 807327844 1009159805 1210991766 1614655688 2018319610 2421983532 2623815493 3027479415 4036639220 4843967064 5247630986 6054958830 7871446479 8073278440 10495261972 12109917660 13119077465 15742892958 20990523944 24219835320 26238154930 31485785916 39357232395 52476309860 62971571832 78714464790 104952619720 143098860349 157428929580 286197720698 314857859160 429296581047 572395441396 715494301745 858593162094 1144790882792 1430988603490 1717186324188 1860285184537 2146482905235 2861977206980 3434372648376 3720570369074 4292965810470 5580855553611 5723954413960 7441140738148 8585931620940 9301425922685 11161711107222 14882281476296 17171863241880 18602851845370 22323422214444 27904277768055 37205703690740 44646844428888 55808555536110 74411407381480 111617111072220 223234222144440