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199949568 = 2837132861
BaseRepresentation
bin10111110101011…
…11110100000000
3111221020111020120
423322233310000
5402141341233
631501340240
74645354230
oct1372576400
9457214216
10199949568
11a2959085
1256b67680
133256a370
141c7abcc0
15128494b3
hexbeafd00

199949568 has 144 divisors (see below), whose sum is σ = 655191936. Its totient is φ = 52715520.

The previous prime is 199949539. The next prime is 199949569. The reversal of 199949568 is 865949991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199949569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68458 + ... + 71318.

It is an arithmetic number, because the mean of its divisors is an integer number (4549944).

Almost surely, 2199949568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199949568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327595968).

199949568 is an abundant number, since it is smaller than the sum of its proper divisors (455242368).

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

199949568 is a wasteful number, since it uses less digits than its factorization.

199949568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2886 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 60.

The square root of 199949568 is about 14140.3524708545. The cubic root of 199949568 is about 584.7543888229.

The spelling of 199949568 in words is "one hundred ninety-nine million, nine hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2861 2912 3328 4368 4992 5376 5722 5824 8583 8736 9984 11444 11648 17166 17472 20027 22888 23296 34332 34944 37193 40054 45776 60081 68664 69888 74386 80108 91552 111579 120162 137328 148772 160216 183104 223158 240324 260351 274656 297544 320432 366208 446316 480648 520702 549312 595088 640864 732416 781053 892632 961296 1041404 1098624 1190176 1281728 1562106 1785264 1922592 2082808 2197248 2380352 2563456 3124212 3570528 3845184 4165616 4760704 5126912 6248424 7141056 7690368 8331232 9521408 12496848 14282112 15380736 16662464 24993696 28564224 33324928 49987392 66649856 99974784 199949568