Search a number
-
+
214565268680 = 23573198325147
BaseRepresentation
bin1100011111010100010…
…1100010110011001000
3202111211102101222220222
43013311011202303020
512003412202044210
6242323034205212
721334061456120
oct3076505426310
9674742358828
10214565268680
1182aa6556134
1235701583808
1317305a86259
14a55669dc80
1558ac014655
hex31f5162cc8

214565268680 has 128 divisors (see below), whose sum is σ = 570139361280. Its totient is φ = 71116911360.

The previous prime is 214565268679. The next prime is 214565268703. The reversal of 214565268680 is 86862565412.

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, 8519867 + ... + 8545013.

It is an arithmetic number, because the mean of its divisors is an integer number (4454213760).

Almost surely, 2214565268680 is an apocalyptic number.

214565268680 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 214565268680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285069680640).

214565268680 is an abundant number, since it is smaller than the sum of its proper divisors (355574092600).

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

214565268680 is a wasteful number, since it uses less digits than its factorization.

214565268680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26179 (or 26175 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 53.

The spelling of 214565268680 in words is "two hundred fourteen billion, five hundred sixty-five million, two hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 983 1085 1240 1736 1966 2170 3932 4340 4915 6881 7864 8680 9830 13762 19660 25147 27524 30473 34405 39320 50294 55048 60946 68810 100588 121892 125735 137620 152365 176029 201176 213311 243784 251470 275240 304730 352058 426622 502940 609460 704116 779557 853244 880145 1005880 1066555 1218920 1408232 1559114 1706488 1760290 2133110 3118228 3520580 3897785 4266220 5456899 6236456 7041160 7795570 8532440 10913798 15591140 21827596 24719501 27284495 31182280 43655192 49439002 54568990 98878004 109137980 123597505 173036507 197756008 218275960 247195010 346073014 494390020 692146028 766304531 865182535 988780040 1384292056 1532609062 1730365070 3065218124 3460730140 3831522655 5364131717 6130436248 6921460280 7663045310 10728263434 15326090620 21456526868 26820658585 30652181240 42913053736 53641317170 107282634340 214565268680