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206833013200 = 245211154930347
BaseRepresentation
bin1100000010100000110…
…1010101000111010000
3201202212112210201110101
43000220031111013100
511342043222410300
6235003501142144
720641341414202
oct3005015250720
9652775721411
10206833013200
117a798931150
1234103b5a954
1316672b59458
14a0217b0772
1555a82a5b6a
hex30283551d0

206833013200 has 120 divisors (see below), whose sum is σ = 542458360800. Its totient is φ = 75160972800.

The previous prime is 206833013137. The next prime is 206833013203. The reversal of 206833013200 is 2310338602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206833013203) 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, 6800427 + ... + 6830773.

It is an arithmetic number, because the mean of its divisors is an integer number (4520486340).

Almost surely, 2206833013200 is an apocalyptic number.

206833013200 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 206833013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271229180400).

206833013200 is an abundant number, since it is smaller than the sum of its proper divisors (335625347600).

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

206833013200 is a wasteful number, since it uses less digits than its factorization.

206833013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31925 (or 31914 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 206833013200 in words is "two hundred six billion, eight hundred thirty-three million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1549 2200 3098 4400 6196 7745 12392 15490 17039 24784 30347 30980 34078 38725 60694 61960 68156 77450 85195 121388 123920 136312 151735 154900 170390 242776 272624 303470 309800 333817 340780 425975 485552 606940 619600 667634 681560 758675 851950 1213880 1335268 1363120 1517350 1669085 1703900 2427760 2670536 3034700 3338170 3407800 5341072 6069400 6676340 6815600 8345425 12138800 13352680 16690850 26705360 33381700 47007503 66763400 94015006 133526800 188030012 235037515 376060024 470075030 517082533 752120048 940150060 1034165066 1175187575 1880300120 2068330132 2350375150 2585412665 3760600240 4136660264 4700750300 5170825330 8273320528 9401500600 10341650660 12927063325 18803001200 20683301320 25854126650 41366602640 51708253300 103416506600 206833013200