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199980300 = 2235213471091
BaseRepresentation
bin10111110101101…
…11010100001100
3111221022001101210
423322313110030
5402143332200
631502134420
74645542642
oct1372672414
9457261353
10199980300
11a297a183
1256b81410
133257b350
141c7b9192
1512853650
hexbeb750c

199980300 has 144 divisors (see below), whose sum is σ = 636959232. Its totient is φ = 48134400.

The previous prime is 199980293. The next prime is 199980307. The reversal of 199980300 is 3089991.

It is an interprime number because it is at equal distance from previous prime (199980293) and next prime (199980307).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (199980307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182755 + ... + 183845.

It is an arithmetic number, because the mean of its divisors is an integer number (4423328).

Almost surely, 2199980300 is an apocalyptic number.

199980300 is a gapful number since it is divisible by the number (10) 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 199980300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318479616).

199980300 is an abundant number, since it is smaller than the sum of its proper divisors (436978932).

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

199980300 is a wasteful number, since it uses less digits than its factorization.

199980300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 199980300 is about 14141.4391063993. The cubic root of 199980300 is about 584.7843459623.

The spelling of 199980300 in words is "one hundred ninety-nine million, nine hundred eighty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 47 50 52 60 65 75 78 94 100 130 141 150 156 188 195 235 260 282 300 325 390 470 564 611 650 705 780 940 975 1091 1175 1222 1300 1410 1833 1950 2182 2350 2444 2820 3055 3273 3525 3666 3900 4364 4700 5455 6110 6546 7050 7332 9165 10910 12220 13092 14100 14183 15275 16365 18330 21820 27275 28366 30550 32730 36660 42549 45825 51277 54550 56732 61100 65460 70915 81825 85098 91650 102554 109100 141830 153831 163650 170196 183300 205108 212745 256385 283660 307662 327300 354575 425490 512770 615324 666601 709150 769155 850980 1025540 1063725 1281925 1333202 1418300 1538310 1999803 2127450 2563850 2666404 3076620 3333005 3845775 3999606 4254900 5127700 6666010 7691550 7999212 9999015 13332020 15383100 16665025 19998030 33330050 39996060 49995075 66660100 99990150 199980300