Search a number
-
+
221744206542480 = 243517119714540061
BaseRepresentation
bin110010011010110011011000…
…101010010111011010010000
31002002010112120000102102102020
4302122303120222113122100
5213031024113333324410
62103335514315051440
764464330103333146
oct6232633052273220
91062115500372366
10221744206542480
116472220a8085a6
1220a5361a140b80
1396965096b750b
143ca8696717596
151a9812069da70
hexc9acd8a97690

221744206542480 has 160 divisors (see below), whose sum is σ = 727903709359488. Its totient is φ = 55648786636800.

The previous prime is 221744206542461. The next prime is 221744206542491. The reversal of 221744206542480 is 84245602447122.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46571650 + ... + 51111710.

Almost surely, 2221744206542480 is an apocalyptic number.

221744206542480 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 221744206542480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363951854679744).

221744206542480 is an abundant number, since it is smaller than the sum of its proper divisors (506159502817008).

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

221744206542480 is a wasteful number, since it uses less digits than its factorization.

221744206542480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552065 (or 4552059 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 51.

The spelling of 221744206542480 in words is "two hundred twenty-one trillion, seven hundred forty-four billion, two hundred six million, five hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 11971 23942 35913 47884 59855 71826 95768 119710 143652 179565 191536 203507 239420 287304 359130 407014 478840 574608 610521 718260 814028 957680 1017535 1221042 1436520 1628056 2035070 2442084 2873040 3052605 3256112 4070140 4540061 4884168 6105210 8140280 9080122 9768336 12210420 13620183 16280560 18160244 22700305 24420840 27240366 36320488 45400610 48841680 54480732 68100915 72640976 77181037 90801220 108961464 136201830 154362074 181602440 217922928 231543111 272403660 308724148 363204880 385905185 463086222 544807320 617448296 771810370 926172444 1089614640 1157715555 1234896592 1543620740 1852344888 2315431110 3087241480 3704689776 4630862220 6174482960 9261724440 18523448880 54349070231 108698140462 163047210693 217396280924 271745351155 326094421386 434792561848 543490702310 652188842772 815236053465 869585123696 923934193927 1086981404620 1304377685544 1630472106930 1847868387854 2173962809240 2608755371088 2771802581781 3260944213860 3695736775708 4347925618480 4619670969635 5543605163562 6521888427720 7391473551416 9239341939270 11087210327124 13043776855440 13859012908905 14782947102832 18478683878540 22174420654248 27718025817810 36957367757080 44348841308496 55436051635620 73914735514160 110872103271240 221744206542480