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199364 = 221123197
BaseRepresentation
bin110000101011000100
3101010110212
4300223010
522334424
64134552
71460144
oct605304
9333425
10199364
11126870
1297458
136c989
1452924
153e10e
hex30ac4

199364 has 24 divisors (see below), whose sum is σ = 399168. Its totient is φ = 86240.

The previous prime is 199357. The next prime is 199373. The reversal of 199364 is 463991.

199364 = T120 + T121 + ... + T142.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 199364.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 199364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 914 + ... + 1110.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2199364 is an apocalyptic number.

It is an amenable number.

199364 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

199364 is a wasteful number, since it uses less digits than its factorization.

199364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its digits is 5832, while the sum is 32.

The square root of 199364 is about 446.5019596821. The cubic root of 199364 is about 58.4182997633.

Adding to 199364 its sum of digits (32), we get a triangular number (199396 = T631).

The spelling of 199364 in words is "one hundred ninety-nine thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 23 44 46 92 197 253 394 506 788 1012 2167 4334 4531 8668 9062 18124 49841 99682 199364