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199239300 = 2232521317029
BaseRepresentation
bin10111110000000…
…10011010000100
3111212220101221100
423320002122010
5402001124200
631434220100
74636335411
oct1370023204
9455811840
10199239300
11a2513487
1256884630
133237bca0
141c665108
1512758d00
hexbe02684

199239300 has 108 divisors (see below), whose sum is σ = 672582820. Its totient is φ = 49040640.

The previous prime is 199239289. The next prime is 199239311. The reversal of 199239300 is 3932991.

It is an interprime number because it is at equal distance from previous prime (199239289) and next prime (199239311).

It can be written as a sum of positive squares in 6 ways, for example, as 6140484 + 193098816 = 2478^2 + 13896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3186 + ... + 20214.

Almost surely, 2199239300 is an apocalyptic number.

199239300 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 199239300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336291410).

199239300 is an abundant number, since it is smaller than the sum of its proper divisors (473343520).

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

199239300 is a wasteful number, since it uses less digits than its factorization.

199239300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17062 (or 17052 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 199239300 is about 14115.2151949589. The cubic root of 199239300 is about 584.0611722060.

The spelling of 199239300 in words is "one hundred ninety-nine million, two hundred thirty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 17029 34058 51087 68116 85145 102174 153261 170290 204348 221377 255435 306522 340580 425725 442754 510870 613044 664131 766305 851450 885508 1021740 1106885 1277175 1328262 1532610 1702900 1992393 2213770 2554350 2656524 3065220 3320655 3831525 3984786 4427540 5108700 5534425 6641310 7663050 7969572 9961965 11068850 13282620 15326100 16603275 19923930 22137700 33206550 39847860 49809825 66413100 99619650 199239300