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200222020222020 = 2232515735931971889
BaseRepresentation
bin101101100001100111010010…
…011001000011110001000100
3222020221001000211211220221100
4231201213102121003301010
5202220414144134101040
61545500420513220100
760113364212132526
oct5541472231036104
9866831024756840
10200222020222020
1158884755702245
121a558451561630
138794b17690514
143762b2442ba16
15182337a7d8b30
hexb619d2643c44

200222020222020 has 144 divisors (see below), whose sum is σ = 611378957432880. Its totient is φ = 53037666459648.

The previous prime is 200222020222019. The next prime is 200222020222043. The reversal of 200222020222020 is 20222020222002.

200222020222020 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 220 + 202 + 220 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21480419844 + 200200539802176 = 146562^2 + 14149224^2 .

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 = 200222020221984 and 200222020222002.

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, 100552236 + ... + 102524124.

It is an arithmetic number, because the mean of its divisors is an integer number (4245687204395).

Almost surely, 2200222020222020 is an apocalyptic number.

200222020222020 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 200222020222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305689478716440).

200222020222020 is an abundant number, since it is smaller than the sum of its proper divisors (411156937210860).

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

200222020222020 is a wasteful number, since it uses less digits than its factorization.

200222020222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975654 (or 1975649 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Subtracting from 200222020222020 its sum of digits (18), we obtain a palindrome (200222020222002).

Adding to 200222020222020 its reverse (20222020222002), we get a palindrome (220444040444022).

The spelling of 200222020222020 in words is "two hundred trillion, two hundred twenty-two billion, twenty million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3140 3593 4710 5652 7065 7186 9420 10779 14130 14372 17965 21558 28260 32337 35930 43116 53895 64674 71860 107790 129348 161685 215580 323370 564101 646740 1128202 1692303 1971889 2256404 2820505 3384606 3943778 5076909 5641010 5915667 6769212 7887556 8461515 9859445 10153818 11282020 11831334 16923030 17747001 19718890 20307636 23662668 25384545 29578335 33846060 35494002 39437780 50769090 59156670 70988004 88735005 101538180 118313340 177470010 309586573 354940020 619173146 928759719 1238346292 1547932865 1857519438 2786279157 3095865730 3715038876 4643798595 5572558314 6191731460 7084997177 9287597190 11145116628 13931395785 14169994354 18575194380 21254991531 27862791570 28339988708 35424985885 42509983062 55725583140 63764974593 70849971770 85019966124 106274957655 127529949186 141699943540 212549915310 255059898372 318824872965 425099830620 637649745930 1112344556789 1275299491860 2224689113578 3337033670367 4449378227156 5561722783945 6674067340734 10011101011101 11123445567890 13348134681468 16685168351835 20022202022202 22246891135780 33370336703670 40044404044404 50055505055505 66740673407340 100111010111010 200222020222020