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200001022000220 = 22577135335695111
BaseRepresentation
bin101101011110011001011101…
…110111101111110001011100
3222020010220121002201001022102
4231132121131313233301130
5202203304043113001340
61545211111234304232
760061411525215140
oct5536313567576134
9866126532631272
10200001022000220
11587a9a589a3231
121a521655728078
13877a027c2ca3c
14375615b65b220
15181c743b69215
hexb5e65ddefc5c

200001022000220 has 96 divisors (see below), whose sum is σ = 486900912347136. Its totient is φ = 67586831827200.

The previous prime is 200001022000193. The next prime is 200001022000223. The reversal of 200001022000220 is 22000220100002.

It is a super-2 number, since 2×2000010220002202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200001022000223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32270465 + ... + 37965575.

It is an arithmetic number, because the mean of its divisors is an integer number (5071884503616).

Almost surely, 2200001022000220 is an apocalyptic number.

200001022000220 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 200001022000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243450456173568).

200001022000220 is an abundant number, since it is smaller than the sum of its proper divisors (286899890346916).

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

200001022000220 is a wasteful number, since it uses less digits than its factorization.

200001022000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698731 (or 5698729 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 200001022000220 its reverse (22000220100002), we get a palindrome (222001242100222).

The spelling of 200001022000220 in words is "two hundred trillion, one billion, twenty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2485 3533 4970 7066 9940 14132 17665 24731 35330 49462 70660 98924 123655 247310 250843 494620 501686 1003372 1254215 1755901 2508430 3511802 5016860 5695111 7023604 8779505 11390222 17559010 22780444 28475555 35118020 39865777 56951110 79731554 113902220 159463108 199328885 398657770 404352881 797315540 808705762 1617411524 2021764405 2830470167 4043528810 5660940334 8087057620 11321880668 14152350835 20120827163 28304701670 40241654326 56609403340 80483308652 100604135815 140845790141 201208271630 281691580282 402416543260 563383160564 704228950705 1408457901410 1428578728573 2816915802820 2857157457146 5714314914292 7142893642865 10000051100011 14285787285730 20000102200022 28571574571460 40000204400044 50000255500055 100000511000110 200001022000220