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204343103200 = 2552472115631
BaseRepresentation
bin1011111001001111001…
…1000100111011100000
3201112110000121012001111
42332103303010323200
511321443313300300
6233512433513104
720522545501315
oct2762363047340
9645400535044
10204343103200
1179730399995
123372a112794
1316367050822
149c66c28d0c
1554ae8be9ba
hex2f93cc4ee0

204343103200 has 108 divisors (see below), whose sum is σ = 509696721072. Its totient is φ = 79997459200.

The previous prime is 204343103191. The next prime is 204343103339. The reversal of 204343103200 is 2301343402.

It is a happy number.

It is a super-2 number, since 2×2043431032002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1709385 + ... + 1825015.

It is an arithmetic number, because the mean of its divisors is an integer number (4719414084).

Almost surely, 2204343103200 is an apocalyptic number.

204343103200 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 204343103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254848360536).

204343103200 is an abundant number, since it is smaller than the sum of its proper divisors (305353617872).

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

204343103200 is a wasteful number, since it uses less digits than its factorization.

204343103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115745 (or 115685 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 204343103200 its reverse (2301343402), we get a palindrome (206644446602).

The spelling of 204343103200 in words is "two hundred four billion, three hundred forty-three million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 752 800 940 1175 1504 1880 2209 2350 3760 4418 4700 7520 8836 9400 11045 17672 18800 22090 35344 37600 44180 55225 70688 88360 110450 115631 176720 220900 231262 353440 441800 462524 578155 883600 925048 1156310 1767200 1850096 2312620 2890775 3700192 4625240 5434657 5781550 9250480 10869314 11563100 18500960 21738628 23126200 27173285 43477256 46252400 54346570 86954512 92504800 108693140 135866425 173909024 217386280 255428879 271732850 434772560 510857758 543465700 869545120 1021715516 1086931400 1277144395 2043431032 2173862800 2554288790 4086862064 4347725600 5108577580 6385721975 8173724128 10217155160 12771443950 20434310320 25542887900 40868620640 51085775800 102171551600 204343103200