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221110201200200 = 235213226227249427
BaseRepresentation
bin110010010001100100111010…
…111111111010111001001000
31001222212221002002111222212112
4302101210322333322321020
5212440132143001401300
62102132342452201452
764400453624002424
oct6221447277727110
91058787062458775
10221110201200200
11644a8345279044
122097077b009288
13964b7aa922a00
143c85b100c3b84
151a868b5278e35
hexc9193affae48

221110201200200 has 144 divisors (see below), whose sum is σ = 556691284410480. Its totient is φ = 81637249524480.

The previous prime is 221110201200139. The next prime is 221110201200209. The reversal of 221110201200200 is 2002102011122.

It is not an unprimeable number, because it can be changed into a prime (221110201200209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 886347887 + ... + 886597313.

It is an arithmetic number, because the mean of its divisors is an integer number (3865911697295).

Almost surely, 2221110201200200 is an apocalyptic number.

221110201200200 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 221110201200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278345642205240).

221110201200200 is an abundant number, since it is smaller than the sum of its proper divisors (335581083210280).

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

221110201200200 is a wasteful number, since it uses less digits than its factorization.

221110201200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275696 (or 275674 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221110201200200 its reverse (2002102011122), we get a palindrome (223112303211322).

The spelling of 221110201200200 in words is "two hundred twenty-one trillion, one hundred ten billion, two hundred one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1690 2600 3380 4225 6760 8450 16900 26227 33800 52454 104908 131135 209816 249427 262270 340951 498854 524540 655675 681902 997708 1049080 1247135 1311350 1363804 1704755 1995416 2494270 2622700 2727608 3242551 3409510 4432363 4988540 5245400 6235675 6485102 6819020 8523775 8864726 9977080 12471350 12970204 13638040 16212755 17047550 17729452 22161815 24942700 25940408 32425510 34095100 35458904 42153163 44323630 49885400 64851020 68190200 81063775 84306326 88647260 110809075 129702040 162127550 168612652 177294520 210765815 221618150 324255100 337225304 421531630 443236300 648510200 843063260 886472600 1053829075 1686126520 2107658150 4215316300 6541721929 8430632600 13083443858 26166887716 32708609645 52333775432 65417219290 85042385077 130834438580 163543048225 170084770154 261668877160 327086096450 340169540308 425211925385 654172192900 680339080616 850423850770 1105551006001 1308344385800 1700847701540 2126059626925 2211102012002 3401695403080 4252119253850 4422204024004 5527755030005 8504238507700 8844408048008 11055510060010 17008477015400 22111020120020 27638775150025 44222040240040 55277550300050 110555100600100 221110201200200