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2201221200200 = 2352116471546453
BaseRepresentation
bin100000000010000011000…
…000011111100101001000
321210102201220000221012112
4200002003000133211020
5242031100111401300
64403121013401452
7315014212325351
oct40020300374510
97712656027175
102201221200200
11779594a88850
122b6740639288
1312c76088b4c9
147877ac1cd28
153c3d3778e35
hex2008301f948

2201221200200 has 96 divisors (see below), whose sum is σ = 5591730231360. Its totient is φ = 799206393600.

The previous prime is 2201221200197. The next prime is 2201221200203. The reversal of 2201221200200 is 20021221022.

It is an interprime number because it is at equal distance from previous prime (2201221200197) and next prime (2201221200203).

It is not an unprimeable number, because it can be changed into a prime (2201221200203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650174 + ... + 2196626.

It is an arithmetic number, because the mean of its divisors is an integer number (58247189910).

Almost surely, 22201221200200 is an apocalyptic number.

2201221200200 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 2201221200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795865115680).

2201221200200 is an abundant number, since it is smaller than the sum of its proper divisors (3390509031160).

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

2201221200200 is a wasteful number, since it uses less digits than its factorization.

2201221200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547127 (or 1547118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2201221200200 its reverse (20021221022), we get a palindrome (2221242421222).

It can be divided in two parts, 22012 and 21200200, that added together give a palindrome (21222212).

The spelling of 2201221200200 in words is "two trillion, two hundred one billion, two hundred twenty-one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 647 1100 1294 2200 2588 3235 5176 6470 7117 12940 14234 16175 25880 28468 32350 35585 56936 64700 71170 129400 142340 177925 284680 355850 711700 1423400 1546453 3092906 6185812 7732265 12371624 15464530 17010983 30929060 34021966 38661325 61858120 68043932 77322650 85054915 136087864 154645300 170109830 309290600 340219660 425274575 680439320 850549150 1000555091 1701098300 2001110182 3402196600 4002220364 5002775455 8004440728 10005550910 11006106001 20011101820 22012212002 25013877275 40022203640 44024424004 50027754550 55030530005 88048848008 100055509100 110061060010 200111018200 220122120020 275152650025 440244240040 550305300050 1100610600100 2201221200200