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200220220100 = 22523727120599
BaseRepresentation
bin1011101001111000001…
…1100001101011000100
3201010210200200000200102
42322132003201223010
511240022334020400
6231551354103232
720315433535055
oct2723603415304
9633720600612
10200220220100
1177a0510488a
123297941ab18
1315b5ab35b24
14999544872c
15531c9749d5
hex2e9e0e1ac4

200220220100 has 108 divisors (see below), whose sum is σ = 452849140800. Its totient is φ = 76822300800.

The previous prime is 200220220049. The next prime is 200220220121. The reversal of 200220220100 is 1022022002.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9709601 + ... + 9730199.

It is an arithmetic number, because the mean of its divisors is an integer number (4193047600).

Almost surely, 2200220220100 is an apocalyptic number.

200220220100 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 200220220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226424570400).

200220220100 is an abundant number, since it is smaller than the sum of its proper divisors (252628920700).

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

200220220100 is a wasteful number, since it uses less digits than its factorization.

200220220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20758 (or 20714 counting only the distinct ones).

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

Adding to 200220220100 its reverse (1022022002), we get a palindrome (201242242102).

The spelling of 200220220100 in words is "two hundred billion, two hundred twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 71 74 100 142 148 185 284 355 370 710 740 925 1369 1420 1775 1850 2627 2738 3550 3700 5254 5476 6845 7100 10508 13135 13690 20599 26270 27380 34225 41198 52540 65675 68450 82396 97199 102995 131350 136900 194398 205990 262700 388796 411980 485995 514975 762163 971990 1029950 1462529 1524326 1943980 2059900 2429975 2925058 3048652 3810815 4859950 5850116 7312645 7621630 9719900 14625290 15243260 19054075 28200031 29250580 36563225 38108150 54113573 56400062 73126450 76216300 108227146 112800124 141000155 146252900 216454292 270567865 282000310 541135730 564000620 705000775 1082271460 1352839325 1410001550 2002202201 2705678650 2820003100 4004404402 5411357300 8008808804 10011011005 20022022010 40044044020 50055055025 100110110050 200220220100