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2201220111200 = 255211373670613
BaseRepresentation
bin100000000010000010111…
…100010101101101100000
321210102201210222121101012
4200002002330111231200
5242031044322024300
64403120534200052
7315014200141415
oct40020274255540
97712653877335
102201220111200
11779594404650
122b67401b3028
1312c760599926
147877aa1810c
153c3d3611435
hex20082f15b60

2201220111200 has 144 divisors (see below), whose sum is σ = 5877974629296. Its totient is φ = 798296524800.

The previous prime is 2201220111199. The next prime is 2201220111217. The reversal of 2201220111200 is 21110221022.

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, 2947094 + ... + 3617706.

It is an arithmetic number, because the mean of its divisors is an integer number (40819268259).

Almost surely, 22201220111200 is an apocalyptic number.

2201220111200 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 2201220111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938987314648).

2201220111200 is an abundant number, since it is smaller than the sum of its proper divisors (3676754518096).

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

2201220111200 is a wasteful number, since it uses less digits than its factorization.

2201220111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671017 (or 671004 counting only the distinct ones).

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

Adding to 2201220111200 its reverse (21110221022), we get a palindrome (2222330332222).

The spelling of 2201220111200 in words is "two trillion, two hundred one billion, two hundred twenty million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 373 400 440 550 746 800 880 1100 1492 1760 1865 2200 2984 3730 4103 4400 5968 7460 8206 8800 9325 11936 14920 16412 18650 20515 29840 32824 37300 41030 59680 65648 74600 82060 102575 131296 149200 164120 205150 298400 328240 410300 656480 670613 820600 1341226 1641200 2682452 3282400 3353065 5364904 6706130 7376743 10729808 13412260 14753486 16765325 21459616 26824520 29506972 33530650 36883715 53649040 59013944 67061300 73767430 107298080 118027888 134122600 147534860 184418575 236055776 250138649 268245200 295069720 368837150 500277298 536490400 590139440 737674300 1000554596 1180278880 1250693245 1475348600 2001109192 2501386490 2751525139 2950697200 4002218384 5002772980 5503050278 5901394400 6253466225 8004436768 10005545960 11006100556 12506932450 13757625695 20011091920 22012201112 25013864900 27515251390 40022183840 44024402224 50027729800 55030502780 68788128475 88048804448 100055459600 110061005560 137576256950 200110919200 220122011120 275152513900 440244022240 550305027800 1100610055600 2201220111200