Search a number
-
+
221422115125632 = 27319167181727101
BaseRepresentation
bin110010010110000111011010…
…100001000111100110000000
31002000222202011220121010212010
4302112013122201013212000
5213010234442433010012
62102531525422132520
764432135266425421
oct6226073241074600
91060882156533763
10221422115125632
1164608656586903
1220a0110a421140
139672028b09b25
143c96c5d639648
151a8ea6d854c3c
hexc961da847980

221422115125632 has 128 divisors (see below), whose sum is σ = 622815123974400. Its totient is φ = 69504073574400.

The previous prime is 221422115125529. The next prime is 221422115125663. The reversal of 221422115125632 is 236521511224122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89645119 + ... + 92081982.

It is an arithmetic number, because the mean of its divisors is an integer number (4865743156050).

Almost surely, 2221422115125632 is an apocalyptic number.

It is an amenable number.

221422115125632 is an abundant number, since it is smaller than the sum of its proper divisors (401393008848768).

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

221422115125632 is a wasteful number, since it uses less digits than its factorization.

221422115125632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181727304 (or 181727292 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

Adding to 221422115125632 its reverse (236521511224122), we get a palindrome (457943626349754).

The spelling of 221422115125632 in words is "two hundred twenty-one trillion, four hundred twenty-two billion, one hundred fifteen million, one hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 167 192 228 304 334 384 456 501 608 668 912 1002 1216 1336 1824 2004 2432 2672 3173 3648 4008 5344 6346 7296 8016 9519 10688 12692 16032 19038 21376 25384 32064 38076 50768 64128 76152 101536 152304 203072 304608 406144 609216 1218432 181727101 363454202 545181303 726908404 1090362606 1453816808 2180725212 2907633616 3452814919 4361450424 5815267232 6905629838 8722900848 10358444757 11630534464 13811259676 17445801696 20716889514 23261068928 27622519352 30348425867 34891603392 41433779028 55245038704 60696851734 69783206784 82867558056 91045277601 110490077408 121393703468 165735116112 182090555202 220980154816 242787406936 331470232224 364181110404 441960309632 485574813872 576620091473 662940464448 728362220808 971149627744 1153240182946 1325880928896 1456724441616 1729860274419 1942299255488 2306480365892 2913448883232 3459720548838 3884598510976 4612960731784 5826897766464 6919441097676 9225921463568 11653795532928 13838882195352 18451842927136 27677764390704 36903685854272 55355528781408 73807371708544 110711057562816 221422115125632