Search a number
-
+
220020322303200 = 25352138166383153
BaseRepresentation
bin110010000001101101111001…
…001001110111110011100000
31001212000201220120002112100110
4302001231321021313303200
5212314303110002200300
62055535535105051320
764225641460143666
oct6201557111676340
91055021816075313
10220020322303200
1164118105027591
12208154b4926b40
13959ca9a956ba3
143c4907cca4c36
151a68378108550
hexc81b79277ce0

220020322303200 has 144 divisors (see below), whose sum is σ = 716684745084336. Its totient is φ = 58629599846400.

The previous prime is 220020322303157. The next prime is 220020322303273. The reversal of 220020322303200 is 2303223020022.

220020322303200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 29877177 + ... + 36505976.

It is an arithmetic number, because the mean of its divisors is an integer number (4976977396419).

Almost surely, 2220020322303200 is an apocalyptic number.

220020322303200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220020322303200 is an abundant number, since it is smaller than the sum of its proper divisors (496664422781136).

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

220020322303200 is a wasteful number, since it uses less digits than its factorization.

220020322303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66384557 (or 66384544 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 220020322303200 its reverse (2303223020022), we get a palindrome (222323545323222).

The spelling of 220020322303200 in words is "two hundred twenty trillion, twenty billion, three hundred twenty-two million, three hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 1381 2400 2762 4143 5524 6905 8286 11048 13810 16572 20715 22096 27620 33144 34525 41430 44192 55240 66288 69050 82860 103575 110480 132576 138100 165720 207150 220960 276200 331440 414300 552400 662880 828600 1104800 1657200 3314400 66383153 132766306 199149459 265532612 331915765 398298918 531065224 663831530 796597836 995747295 1062130448 1327663060 1593195672 1659578825 1991494590 2124260896 2655326120 3186391344 3319157650 3982989180 4978736475 5310652240 6372782688 6638315300 7965978360 9957472950 10621304480 13276630600 15931956720 19914945900 26553261200 31863913440 39829891800 53106522400 79659783600 91675134293 159319567200 183350268586 275025402879 366700537172 458375671465 550050805758 733401074344 916751342930 1100101611516 1375127014395 1466802148688 1833502685860 2200203223032 2291878357325 2750254028790 2933604297376 3667005371720 4400406446064 4583756714650 5500508057580 6875635071975 7334010743440 8800812892128 9167513429300 11001016115160 13751270143950 14668021486880 18335026858600 22002032230320 27502540287900 36670053717200 44004064460640 55005080575800 73340107434400 110010161151600 220020322303200