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22324340410020 = 223251131511357809
BaseRepresentation
bin1010001001101110010100…
…11000010100011010100100
32221001012000200000022211100
411010313022120110122210
510411230222121110040
6115251354351440100
74462610652355665
oct504671230243244
987035020008740
1022324340410020
117127777192460
122606734526030
13c5c23a34c18c
1457270a77b36c
1528aa92355b30
hex144dca6146a4

22324340410020 has 144 divisors (see below), whose sum is σ = 73875822733440. Its totient is φ = 5411774438400.

The previous prime is 22324340410013. The next prime is 22324340410069. The reversal of 22324340410020 is 2001404342322.

22324340410020 is a `hidden beast` number, since 2 + 2 + 3 + 243 + 4 + 0 + 410 + 0 + 2 + 0 = 666.

It is a super-3 number, since 3×223243404100203 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62212876 + ... + 62570684.

It is an arithmetic number, because the mean of its divisors is an integer number (513026546760).

Almost surely, 222324340410020 is an apocalyptic number.

22324340410020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22324340410020 is an abundant number, since it is smaller than the sum of its proper divisors (51551482323420).

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

22324340410020 is a wasteful number, since it uses less digits than its factorization.

22324340410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389346 (or 389341 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22324340410020 its reverse (2001404342322), we get a palindrome (24325744752342).

The spelling of 22324340410020 in words is "twenty-two trillion, three hundred twenty-four billion, three hundred forty million, four hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 31511 63022 94533 126044 157555 189066 283599 315110 346621 357809 378132 472665 567198 630220 693242 715618 945330 1039863 1073427 1134396 1386484 1417995 1431236 1733105 1789045 1890660 2079726 2146854 2835990 3119589 3220281 3466210 3578090 3935899 4159452 4293708 5199315 5367135 5671980 6239178 6440562 6932420 7156180 7871798 10398630 10734270 11807697 12478356 12881124 15597945 15743596 16101405 19679495 20797260 21468540 23615394 31195890 32202810 35423091 39358990 47230788 59038485 62391780 64405620 70846182 78717980 118076970 141692364 177115455 236153940 354230910 708461820 11274919399 22549838798 33824758197 45099677596 56374596995 67649516394 101474274591 112749193990 124024113389 135299032788 169123790985 202948549182 225498387980 248048226778 338247581970 372072340167 405897098364 496096453556 507371372955 620120566945 676495163940 744144680334 1014742745910 1116217020501 1240241133890 1488289360668 1860361700835 2029485491820 2232434041002 2480482267780 3720723401670 4464868082004 5581085102505 7441446803340 11162170205010 22324340410020