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2201220211200 = 2935257323443
BaseRepresentation
bin100000000010000010111…
…100101110001000000000
321210102201211011200112220
4200002002330232020000
5242031044333224300
64403120540251040
7315014201036103
oct40020274561000
97712654150486
102201220211200
1177959447279a
122b6740240a80
1312c7606032ba
147877aa4273a
153c3d3630da0
hex20082f2e200

2201220211200 has 120 divisors (see below), whose sum is σ = 7271593518288. Its totient is φ = 586992046080.

The previous prime is 2201220211199. The next prime is 2201220211207. The reversal of 2201220211200 is 21120221022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2201220211200.

It is not an unprimeable number, because it can be changed into a prime (2201220211207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28623322 + ... + 28700121.

Almost surely, 22201220211200 is an apocalyptic number.

2201220211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201220211200 is an abundant number, since it is smaller than the sum of its proper divisors (5070373307088).

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

2201220211200 is an equidigital number, since it uses as much as digits as its factorization.

2201220211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57323474 (or 57323453 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2201220211200 its reverse (21120221022), we get a palindrome (2222340432222).

The spelling of 2201220211200 in words is "two trillion, two hundred one billion, two hundred twenty million, two hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1200 1280 1536 1600 1920 2400 2560 3200 3840 4800 6400 7680 9600 12800 19200 38400 57323443 114646886 171970329 229293772 286617215 343940658 458587544 573234430 687881316 859851645 917175088 1146468860 1375762632 1433086075 1719703290 1834350176 2292937720 2751525264 2866172150 3439406580 3668700352 4299258225 4585875440 5503050528 5732344300 6878813160 7337400704 8598516450 9171750880 11006101056 11464688600 13757626320 14674801408 17197032900 18343501760 22012202112 22929377200 27515252640 29349602816 34394065800 36687003520 44024404224 45858754400 55030505280 68788131600 73374007040 88048808448 91717508800 110061010560 137576263200 146748014080 183435017600 220122021120 275152526400 366870035200 440244042240 550305052800 733740070400 1100610105600 2201220211200