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221422047264040 = 23575344573347683
BaseRepresentation
bin110010010110000111010110…
…011110001111110100101000
31002000222202000011220102020211
4302112013112132033310220
5213010234323044422130
62102531514555430504
764432133513546260
oct6226072636176450
91060882004812224
10221422047264040
1164608621246447
1220a010ab755434
139672017a3973c
143c96c546127a0
151a8ea678eca2a
hexc961d678fd28

221422047264040 has 128 divisors (see below), whose sum is σ = 580244158575360. Its totient is φ = 74467016792064.

The previous prime is 221422047264001. The next prime is 221422047264137. The reversal of 221422047264040 is 40462740224122.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 221422047263984 and 221422047264002.

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, 64468039 + ... + 67815721.

It is an arithmetic number, because the mean of its divisors is an integer number (4533157488870).

Almost surely, 2221422047264040 is an apocalyptic number.

221422047264040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221422047264040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290122079287680).

221422047264040 is an abundant number, since it is smaller than the sum of its proper divisors (358822111311320).

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

221422047264040 is a wasteful number, since it uses less digits than its factorization.

221422047264040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352211 (or 3352207 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 40.

Adding to 221422047264040 its reverse (40462740224122), we get a palindrome (261884787488162).

The spelling of 221422047264040 in words is "two hundred twenty-one trillion, four hundred twenty-two billion, forty-seven million, two hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 4457 7420 8914 14840 17828 22285 31199 35656 44570 62398 89140 124796 155995 178280 236221 249592 311990 472442 623980 944884 1181105 1247960 1653547 1889768 2362210 3307094 3347683 4724420 6614188 6695366 8267735 9448840 13228376 13390732 16535470 16738415 23433781 26781464 33070940 33476830 46867562 66141880 66953660 93735124 117168905 133907320 177427199 187470248 234337810 354854398 468675620 709708796 887135995 937351240 1241990393 1419417592 1774271990 2483980786 3548543980 4967961572 6209951965 7097087960 9935923144 12419903930 14920623131 24839807860 29841246262 49679615720 59682492524 74603115655 104444361917 119364985048 149206231310 208888723834 298412462620 417777447668 522221809585 596824925240 790793025943 835554895336 1044443619170 1581586051886 2088887238340 3163172103772 3953965129715 4177774476680 5535551181601 6326344207544 7907930259430 11071102363202 15815860518860 22142204726404 27677755908005 31631721037720 44284409452808 55355511816010 110711023632020 221422047264040