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204332043200 = 2652143389119
BaseRepresentation
bin1011111001001100100…
…0111000101111000000
3201112102020210021120212
42332103020320233000
511321433000340300
6233511400453252
720522352465365
oct2762310705700
9645366707525
10204332043200
117972512539a
123372647a228
131636497a64c
149c6558a46c
1554ad937935
hex2f93238bc0

204332043200 has 84 divisors (see below), whose sum is σ = 503141040960. Its totient is φ = 81674864640.

The previous prime is 204332043193. The next prime is 204332043203. The reversal of 204332043200 is 2340233402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204332043203) 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, 2248241 + ... + 2337359.

Almost surely, 2204332043200 is an apocalyptic number.

204332043200 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 204332043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251570520480).

204332043200 is an abundant number, since it is smaller than the sum of its proper divisors (298808997760).

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

204332043200 is a wasteful number, since it uses less digits than its factorization.

204332043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90574 (or 90559 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 204332043200 its reverse (2340233402), we get a palindrome (206672276602).

The spelling of 204332043200 in words is "two hundred four billion, three hundred thirty-two million, forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1433 1600 2866 5732 7165 11464 14330 22928 28660 35825 45856 57320 71650 89119 91712 114640 143300 178238 229280 286600 356476 445595 458560 573200 712952 891190 1146400 1425904 1782380 2227975 2292800 2851808 3564760 4455950 5703616 7129520 8911900 14259040 17823800 28518080 35647600 71295200 127707527 142590400 255415054 510830108 638537635 1021660216 1277075270 2043320432 2554150540 3192688175 4086640864 5108301080 6385376350 8173281728 10216602160 12770752700 20433204320 25541505400 40866408640 51083010800 102166021600 204332043200