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199071208 = 23719223839
BaseRepresentation
bin10111101110110…
…01010111101000
3111212120212100201
423313121113220
5401430234313
631430441544
74635035350
oct1367312750
9455525321
10199071208
11a2409166
12568032b4
133232061b
141c61db60
15127240dd
hexbdd95e8

199071208 has 64 divisors (see below), whose sum is σ = 451584000. Its totient is φ = 80367552.

The previous prime is 199071203. The next prime is 199071263. The reversal of 199071208 is 802170991.

It is not an unprimeable number, because it can be changed into a prime (199071203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236853 + ... + 237691.

It is an arithmetic number, because the mean of its divisors is an integer number (7056000).

Almost surely, 2199071208 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 199071208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225792000).

199071208 is an abundant number, since it is smaller than the sum of its proper divisors (252512792).

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

199071208 is a wasteful number, since it uses less digits than its factorization.

199071208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 37.

The square root of 199071208 is about 14109.2596545673. The cubic root of 199071208 is about 583.8968745786.

It can be divided in two parts, 19907 and 1208, that added together give a triangular number (21115 = T205).

The spelling of 199071208 in words is "one hundred ninety-nine million, seventy-one thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 223 266 446 532 839 892 1064 1561 1678 1784 3122 3356 4237 5873 6244 6712 8474 11746 12488 15941 16948 23492 29659 31882 33896 46984 59318 63764 111587 118636 127528 187097 223174 237272 374194 446348 748388 892696 1309679 1496776 2619358 3554843 5238716 7109686 10477432 14219372 24883901 28438744 49767802 99535604 199071208