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200220221202200 = 235217916133467293
BaseRepresentation
bin101101100001100101100111…
…001010010101111100011000
3222020220212101110200020200122
4231201211213022111330120
5202220402003111432300
61545455522210052412
760113301505540013
oct5541454712257430
9866825343606618
10200220221202200
1158883a12158001
121a55802ab7a108
1387948bba54654
1437629d352c37a
1518232c28c5c85
hexb61967295f18

200220221202200 has 96 divisors (see below), whose sum is σ = 468402987589200. Its totient is φ = 79591271784960.

The previous prime is 200220221202191. The next prime is 200220221202229. The reversal of 200220221202200 is 2202122022002.

200220221202200 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, 56011754 + ... + 59479046.

Almost surely, 2200220221202200 is an apocalyptic number.

200220221202200 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 200220221202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234201493794600).

200220221202200 is an abundant number, since it is smaller than the sum of its proper divisors (268182766387000).

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

200220221202200 is a wasteful number, since it uses less digits than its factorization.

200220221202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469101 (or 3469092 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 200220221202200 its reverse (2202122022002), we get a palindrome (202422343224202).

The spelling of 200220221202200 in words is "two hundred trillion, two hundred twenty billion, two hundred twenty-one million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 179 200 358 716 895 1432 1613 1790 3226 3580 4475 6452 7160 8065 8950 12904 16130 17900 32260 35800 40325 64520 80650 161300 288727 322600 577454 1154908 1443635 2309816 2887270 3467293 5774540 6934586 7218175 11549080 13869172 14436350 17336465 27738344 28872700 34672930 57745400 69345860 86682325 138691720 173364650 346729300 620645447 693458600 1241290894 2482581788 3103227235 4965163576 5592743609 6206454470 11185487218 12412908940 15516136175 22370974436 24825817880 27963718045 31032272350 44741948872 55927436090 62064544700 111854872180 124129089400 139818590225 223709744360 279637180450 559274360900 1001101106011 1118548721800 2002202212022 4004404424044 5005505530055 8008808848088 10011011060110 20022022120220 25027527650275 40044044240440 50055055300550 100110110601100 200220221202200