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200240114220 = 223251974337877
BaseRepresentation
bin1011101001111100111…
…1011010101000101100
3201010212002002202021200
42322133033122220230
511240042432123340
6231553344325500
720316064613316
oct2723717325054
9633762082250
10200240114220
1177a15362603
1232984013890
1315b61caccb3
149997d467b6
15531e5a4330
hex2e9f3daa2c

200240114220 has 144 divisors (see below), whose sum is σ = 639530367840. Its totient is φ = 50573749248.

The previous prime is 200240114209. The next prime is 200240114231. The reversal of 200240114220 is 22411042002.

200240114220 is a `hidden beast` number, since 2 + 0 + 0 + 240 + 1 + 1 + 422 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (200240114209) and next prime (200240114231).

It is a super-2 number, since 2×2002401142202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200240114193 and 200240114202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25416922 + ... + 25424798.

It is an arithmetic number, because the mean of its divisors is an integer number (4441183110).

Almost surely, 2200240114220 is an apocalyptic number.

200240114220 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 200240114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319765183920).

200240114220 is an abundant number, since it is smaller than the sum of its proper divisors (439290253620).

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

200240114220 is a wasteful number, since it uses less digits than its factorization.

200240114220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15344 (or 15339 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200240114220 its reverse (22411042002), we get a palindrome (222651156222).

The spelling of 200240114220 in words is "two hundred billion, two hundred forty million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 7433 7877 14866 15754 22299 23631 29732 31508 37165 39385 44598 47262 66897 70893 74330 78770 89196 94524 111495 118155 133794 141227 141786 148660 149663 157540 222990 236310 267588 282454 283572 299326 334485 354465 423681 445980 448989 472620 564908 598652 668970 706135 708930 748315 847362 897978 1271043 1337940 1346967 1412270 1417860 1496630 1694724 1795956 2118405 2244945 2542086 2693934 2824540 2993260 4236810 4489890 5084172 5387868 6355215 6734835 8473620 8979780 12710430 13469670 25420860 26939340 58549741 117099482 175649223 234198964 292748705 351298446 526947669 585497410 702596892 878246115 1053895338 1112445079 1170994820 1756492230 2107790676 2224890158 2634738345 3337335237 3512984460 4449780316 5269476690 5562225395 6674670474 10012005711 10538953380 11124450790 13349340948 16686676185 20024011422 22248901580 33373352370 40048022844 50060028555 66746704740 100120057110 200240114220