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232331320020200 = 235212787191049077
BaseRepresentation
bin110100110100110111011001…
…110011001100110011101000
31010110121122202011020120102212
4310310313121303030303220
5220423004020411121300
62142043311315344252
766636245460145622
oct6464673163146350
91113548664216385
10232331320020200
11680341833171a5
1222083448bb2088
139c8399878080b
144152c7845dc12
151bcd70de75935
hexd34dd9cccce8

232331320020200 has 96 divisors (see below), whose sum is σ = 544486588723200. Its totient is φ = 92190113245440.

The previous prime is 232331320020193. The next prime is 232331320020203. The reversal of 232331320020200 is 2020023133232.

It is not an unprimeable number, because it can be changed into a prime (232331320020203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220938062 + ... + 221987138.

It is an arithmetic number, because the mean of its divisors is an integer number (5671735299200).

Almost surely, 2232331320020200 is an apocalyptic number.

232331320020200 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 232331320020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272243294361600).

232331320020200 is an abundant number, since it is smaller than the sum of its proper divisors (312155268703000).

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

232331320020200 is a wasteful number, since it uses less digits than its factorization.

232331320020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057939 (or 1057930 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 232331320020200 its reverse (2020023133232), we get a palindrome (234351343153432).

The spelling of 232331320020200 in words is "two hundred thirty-two trillion, three hundred thirty-one billion, three hundred twenty million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 254 508 635 1016 1270 2540 3175 5080 6350 8719 12700 17438 25400 34876 43595 69752 87190 174380 217975 348760 435950 871900 1049077 1107313 1743800 2098154 2214626 4196308 4429252 5245385 5536565 8392616 8858504 10490770 11073130 20981540 22146260 26226925 27682825 41963080 44292520 52453850 55365650 104907700 110731300 133232779 209815400 221462600 266465558 532931116 666163895 1065862232 1332327790 2664655580 3330819475 5329311160 6661638950 9146902363 13323277900 18293804726 26646555800 36587609452 45734511815 73175218904 91469023630 182938047260 228672559075 365876094520 457345118150 914690236300 1161656600101 1829380472600 2323313200202 4646626400404 5808283000505 9293252800808 11616566001010 23233132002020 29041415002525 46466264004040 58082830005050 116165660010100 232331320020200