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221655674603132 = 227118934072373373
BaseRepresentation
bin110010011001100000111011…
…101111110100011001111100
31002001211002001001221220220122
4302121200323233310121330
5213023101310144300012
62103231113340234112
764455044151300620
oct6231407357643174
91061732031856818
10221655674603132
1164698709842180
1220a3a430b3b938
13968b06aa838a3
143ca42987a7180
151a95b8d15ce72
hexc9983bbf467c

221655674603132 has 96 divisors (see below), whose sum is σ = 489189975644160. Its totient is φ = 85363925137920.

The previous prime is 221655674603101. The next prime is 221655674603147. The reversal of 221655674603132 is 231306476556122.

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, 92205998 + ... + 94579370.

It is an arithmetic number, because the mean of its divisors is an integer number (5095728912960).

Almost surely, 2221655674603132 is an apocalyptic number.

221655674603132 is a gapful number since it is divisible by the number (22) 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 221655674603132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244594987822080).

221655674603132 is an abundant number, since it is smaller than the sum of its proper divisors (267534301041028).

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

221655674603132 is a wasteful number, since it uses less digits than its factorization.

221655674603132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376891 (or 2376889 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 53.

The spelling of 221655674603132 in words is "two hundred twenty-one trillion, six hundred fifty-five billion, six hundred seventy-four million, six hundred three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 89 154 178 308 356 623 979 1246 1958 2492 3407 3916 6814 6853 13628 13706 23849 27412 37477 47698 74954 95396 149908 262339 303223 524678 606446 1049356 1212892 2122561 2373373 3335453 4245122 4746746 6670906 8490244 9493492 13341812 16613611 23348171 26107103 33227222 46696342 52214206 66454444 93392684 104428412 182749721 211230197 365499442 422460394 730998884 844920788 1478611379 2323532167 2957222758 4647064334 5914445516 8086081811 9294128668 16172163622 16264725169 32344327244 32529450338 56602572677 65058900676 88946899921 113205145354 177893799842 226410290708 355787599684 622628299447 719661281179 1245256598894 1439322562358 2490513197788 2878645124716 5037628968253 7916274092969 10075257936506 15832548185938 20150515873012 31665096371876 55413918650783 110827837301566 221655674603132