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2200122212200 = 2352112379239879
BaseRepresentation
bin100000000001000001100…
…000001011111101101000
321210022220022002120002021
4200001001200023331220
5242021322241242300
64402415554314224
7314645036145613
oct40010140137550
97708808076067
102200122212200
117790806a4900
122b6494588974
1312c616ca3353
14786b4ca517a
153c36c042d1a
hex2004180bf68

2200122212200 has 144 divisors (see below), whose sum is σ = 5637443868000. Its totient is φ = 797930179200.

The previous prime is 2200122212177. The next prime is 2200122212213. The reversal of 2200122212200 is 22122210022.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9051861 + ... + 9291739.

It is an arithmetic number, because the mean of its divisors is an integer number (39148915750).

Almost surely, 22200122212200 is an apocalyptic number.

2200122212200 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 2200122212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818721934000).

2200122212200 is an abundant number, since it is smaller than the sum of its proper divisors (3437321655800).

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

2200122212200 is a wasteful number, since it uses less digits than its factorization.

2200122212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240296 (or 240276 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2200122212200 its reverse (22122210022), we get a palindrome (2222244422222).

The spelling of 2200122212200 in words is "two trillion, two hundred billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 379 440 484 550 605 758 968 1100 1210 1516 1895 2200 2420 3025 3032 3790 4169 4840 6050 7580 8338 9475 12100 15160 16676 18950 20845 24200 33352 37900 41690 45859 75800 83380 91718 104225 166760 183436 208450 229295 239879 366872 416900 458590 479758 833800 917180 959516 1146475 1199395 1834360 1919032 2292950 2398790 2638669 4585900 4797580 5277338 5996975 9171800 9595160 10554676 11993950 13193345 21109352 23987900 26386690 29025359 47975800 52773380 58050718 65966725 90914141 105546760 116101436 131933450 145126795 181828282 232202872 263866900 290253590 363656564 454570705 527733800 580507180 725633975 727313128 909141410 1000055551 1161014360 1451267950 1818282820 2000111102 2272853525 2902535900 3636565640 4000222204 4545707050 5000277755 5805071800 8000444408 9091414100 10000555510 11000611061 18182828200 20001111020 22001222122 25001388775 40002222040 44002444244 50002777550 55003055305 88004888488 100005555100 110006110610 200011110200 220012221220 275015276525 440024442440 550030553050 1100061106100 2200122212200