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199204992 = 2732723529
BaseRepresentation
bin10111101111110…
…10000010000000
3111212211122212200
423313322002000
5401444024432
631433353200
74636133400
oct1367720200
9455748780
10199204992
11a249a728
1256868800
133236949c
141c656800
151274da7c
hexbdfa080

199204992 has 144 divisors (see below), whose sum is σ = 667011150. Its totient is φ = 56899584.

The previous prime is 199204979. The next prime is 199205011. The reversal of 199204992 is 299402991.

It can be written as a sum of positive squares in only one way, i.e., 194435136 + 4769856 = 13944^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54684 + ... + 58212.

Almost surely, 2199204992 is an apocalyptic number.

199204992 is a gapful number since it is divisible by the number (12) 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 199204992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333505575).

199204992 is an abundant number, since it is smaller than the sum of its proper divisors (467806158).

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

199204992 is a wasteful number, since it uses less digits than its factorization.

199204992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 199204992 is about 14113.9998582967. Note that the first 3 decimals coincide. The cubic root of 199204992 is about 584.0276461548.

The spelling of 199204992 in words is "one hundred ninety-nine million, two hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 3529 4032 4704 6272 7056 7058 8064 9408 10587 14112 14116 18816 21174 24703 28224 28232 31761 42348 49406 56448 56464 63522 74109 84696 98812 112928 127044 148218 169392 172921 197624 222327 225856 254088 296436 338784 345842 395248 444654 451712 508176 518763 592872 677568 691684 790496 889308 1016352 1037526 1185744 1355136 1383368 1556289 1580992 1778616 2032704 2075052 2371488 2766736 3112578 3161984 3557232 4065408 4150104 4742976 5533472 6225156 7114464 8300208 9485952 11066944 12450312 14228928 16600416 22133888 24900624 28457856 33200832 49801248 66401664 99602496 199204992