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224345006327640 = 233511279616078407
BaseRepresentation
bin110011000000101001100100…
…011010001100011101011000
31002102100011200020001121212010
4303000221210122030131120
5213401132033104441030
62113050401220345520
765153251252626342
oct6300514432143530
91072304606047763
10224345006327640
1165535201456350
12211b36948452a0
1398248494b5233
143d584db75c292
151ae0add82c6b0
hexcc0a6468c758

224345006327640 has 128 divisors (see below), whose sum is σ = 734246400222720. Its totient is φ = 54384714163200.

The previous prime is 224345006327633. The next prime is 224345006327711. The reversal of 224345006327640 is 46723600543422.

It is a self number, because there is not a number n which added to its sum of digits gives 224345006327640.

It is a congruent number.

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, 33869317 + ... + 39947723.

It is an arithmetic number, because the mean of its divisors is an integer number (5736300001740).

Almost surely, 2224345006327640 is an apocalyptic number.

224345006327640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224345006327640 is an abundant number, since it is smaller than the sum of its proper divisors (509901393895080).

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

224345006327640 is a wasteful number, since it uses less digits than its factorization.

224345006327640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106393 (or 6106389 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 48.

The spelling of 224345006327640 in words is "two hundred twenty-four trillion, three hundred forty-five billion, six million, three hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 27961 55922 83883 111844 139805 167766 223688 279610 307571 335532 419415 559220 615142 671064 838830 922713 1118440 1230284 1537855 1677660 1845426 2460568 3075710 3355320 3690852 4613565 6078407 6151420 7381704 9227130 12156814 12302840 18235221 18454260 24313628 30392035 36470442 36908520 48627256 60784070 66862477 72940884 91176105 121568140 133724954 145881768 182352210 200587431 243136280 267449908 334312385 364704420 401174862 534899816 668624770 729408840 802349724 1002937155 1337249540 1604699448 2005874310 2674499080 4011748620 8023497240 169958338127 339916676254 509875014381 679833352508 849791690635 1019750028762 1359666705016 1699583381270 1869541719397 2039500057524 2549375071905 3399166762540 3739083438794 4079000115048 5098750143810 5608625158191 6798333525080 7478166877588 9347708596985 10197500287620 11217250316382 14956333755176 18695417193970 20395000575240 22434500632764 28043125790955 37390834387940 44869001265528 56086251581910 74781668775880 112172503163820 224345006327640