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200210222012000 = 2553194925681147
BaseRepresentation
bin101101100001011100010011…
…001010011101011001100000
3222020212220120121102202101212
4231201130103022131121200
5202220221013313341000
61545451150052445252
760112465641040004
oct5541342312353140
9866786517382355
10200210222012000
115887a750946452
121a5560ba319828
13879398728b965
14376232553a704
151822dd9b27c35
hexb6171329d660

200210222012000 has 96 divisors (see below), whose sum is σ = 492168928960800. Its totient is φ = 80042995852800.

The previous prime is 200210222011999. The next prime is 200210222012027. The reversal of 200210222012000 is 210222012002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5044574 + ... + 20636573.

It is an arithmetic number, because the mean of its divisors is an integer number (5126759676675).

Almost surely, 2200210222012000 is an apocalyptic number.

200210222012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210222012000 is an abundant number, since it is smaller than the sum of its proper divisors (291958706948800).

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

200210222012000 is a wasteful number, since it uses less digits than its factorization.

200210222012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25683121 (or 25683103 counting only the distinct ones).

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

Adding to 200210222012000 its reverse (210222012002), we get a palindrome (200420444024002).

It can be divided in two parts, 20021022 and 2012000, that added together give a palindrome (22033022).

The spelling of 200210222012000 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1949 2000 3898 4000 7796 9745 15592 19490 31184 38980 48725 62368 77960 97450 155920 194900 243625 311840 389800 487250 779600 974500 1559200 1949000 3898000 7796000 25681147 51362294 102724588 128405735 205449176 256811470 410898352 513622940 642028675 821796704 1027245880 1284057350 2054491760 2568114700 3210143375 4108983520 5136229400 6420286750 10272458800 12840573500 20544917600 25681147000 50052555503 51362294000 100105111006 102724588000 200210222012 250262777515 400420444024 500525555030 800840888048 1001051110060 1251313887575 1601681776096 2002102220120 2502627775150 4004204440240 5005255550300 6256569437875 8008408880480 10010511100600 12513138875750 20021022201200 25026277751500 40042044402400 50052555503000 100105111006000 200210222012000