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199907344 = 247133143103
BaseRepresentation
bin10111110101001…
…01100000010000
3111221011100022201
423322211200100
5402134013334
631500412544
74645120150
oct1372454020
9457140281
10199907344
11a292a38a
1256b47154
1332554090
141c79a760
151283bc14
hexbea5810

199907344 has 160 divisors (see below), whose sum is σ = 508411904. Its totient is φ = 74027520.

The previous prime is 199907333. The next prime is 199907359. The reversal of 199907344 is 443709991.

It is a junction number, because it is equal to n+sod(n) for n = 199907294 and 199907303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1940797 + ... + 1940899.

Almost surely, 2199907344 is an apocalyptic number.

199907344 is a gapful number since it is divisible by the number (14) 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 199907344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254205952).

199907344 is an abundant number, since it is smaller than the sum of its proper divisors (308504560).

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

199907344 is a wasteful number, since it uses less digits than its factorization.

199907344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The square root of 199907344 is about 14138.8593599342. The cubic root of 199907344 is about 584.7132244303.

The spelling of 199907344 in words is "one hundred ninety-nine million, nine hundred seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 43 52 56 62 86 91 103 104 112 124 172 182 206 208 217 248 301 344 364 403 412 434 496 559 602 688 721 728 806 824 868 1118 1204 1333 1339 1442 1456 1612 1648 1736 2236 2408 2666 2678 2821 2884 3193 3224 3472 3913 4429 4472 4816 5332 5356 5642 5768 6386 6448 7826 8858 8944 9331 9373 10664 10712 11284 11536 12772 15652 17329 17716 18662 18746 21328 21424 22351 22568 25544 31003 31304 34658 35432 37324 37492 41509 44702 45136 51088 57577 62006 62608 69316 70864 74648 74984 83018 89404 115154 121303 124012 137299 138632 149296 149968 166036 178808 230308 242606 248024 274598 277264 290563 332072 357616 403039 460616 485212 496048 549196 581126 664144 806078 921232 961093 970424 1098392 1162252 1612156 1784887 1922186 1940848 2196784 2324504 3224312 3569774 3844372 4649008 6448624 7139548 7688744 12494209 14279096 15377488 24988418 28558192 49976836 99953672 199907344