Search a number
-
+
216434168820 = 223255632135723
BaseRepresentation
bin1100100110010001111…
…0110101001111110100
3202200122200001221221200
43021210132311033310
512021224121400240
6243232315212500
721431304036432
oct3114436651764
9680580057850
10216434168820
118387549a501
1235b43447130
131754301b31c
14a69298dd52
15596b12c930
hex32647b53f4

216434168820 has 72 divisors (see below), whose sum is σ = 657683391456. Its totient is φ = 57613236672.

The previous prime is 216434168813. The next prime is 216434168857. The reversal of 216434168820 is 28861434612.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 966522 + ... + 1169201.

It is an arithmetic number, because the mean of its divisors is an integer number (9134491548).

Almost surely, 2216434168820 is an apocalyptic number.

216434168820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216434168820 is an abundant number, since it is smaller than the sum of its proper divisors (441249222636).

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

216434168820 is a wasteful number, since it uses less digits than its factorization.

216434168820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136301 (or 2136296 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 216434168820 in words is "two hundred sixteen billion, four hundred thirty-four million, one hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 563 1126 1689 2252 2815 3378 5067 5630 6756 8445 10134 11260 16890 20268 25335 33780 50670 101340 2135723 4271446 6407169 8542892 10678615 12814338 19221507 21357230 25628676 32035845 38443014 42714460 64071690 76886028 96107535 128143380 192215070 384430140 1202412049 2404824098 3607236147 4809648196 6012060245 7214472294 10821708441 12024120490 14428944588 18036180735 21643416882 24048240980 36072361470 43286833764 54108542205 72144722940 108217084410 216434168820