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199376017 = 17371971609
BaseRepresentation
bin10111110001000…
…11110010010001
3111220011100110221
423320203302101
5402020013032
631441153041
74640445121
oct1370436221
9456140427
10199376017
11a25a7175
125692b781
13323c9299
141c69cc81
1512784597
hexbe23c91

199376017 has 16 divisors (see below), whose sum is σ = 218045520. Its totient is φ = 181536768.

The previous prime is 199375991. The next prime is 199376033. The reversal of 199376017 is 710673991.

199376017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 143784081 + 55591936 = 11991^2 + 7456^2 .

It is a cyclic number.

It is not a de Polignac number, because 199376017 - 27 = 199375889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199376057) 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, 123109 + ... + 124717.

It is an arithmetic number, because the mean of its divisors is an integer number (13627845).

Almost surely, 2199376017 is an apocalyptic number.

199376017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

199376017 is a deficient number, since it is larger than the sum of its proper divisors (18669503).

199376017 is a wasteful number, since it uses less digits than its factorization.

199376017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860.

The product of its (nonzero) digits is 71442, while the sum is 43.

The square root of 199376017 is about 14120.0572590907. The cubic root of 199376017 is about 584.1947349348.

The spelling of 199376017 in words is "one hundred ninety-nine million, three hundred seventy-six thousand, seventeen".

Divisors: 1 17 37 197 629 1609 3349 7289 27353 59533 123913 316973 1012061 5388541 11728001 199376017