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199381 = 7213313
BaseRepresentation
bin110000101011010101
3101010111111
4300223111
522340011
64135021
71460200
oct605325
9333444
10199381
11126886
1297471
136c9a0
1452937
153e121
hex30ad5

199381 has 12 divisors (see below), whose sum is σ = 250572. Its totient is φ = 157248.

The previous prime is 199379. The next prime is 199399. The reversal of 199381 is 183991.

199381 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 2 ways, for example, as 11025 + 188356 = 105^2 + 434^2 .

It is not a de Polignac number, because 199381 - 21 = 199379 is a prime.

It is a super-2 number, since 2×1993812 = 79505566322, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481 + ... + 793.

It is an arithmetic number, because the mean of its divisors is an integer number (20881).

2199381 is an apocalyptic number.

It is an amenable number.

199381 is a deficient number, since it is larger than the sum of its proper divisors (51191).

199381 is a wasteful number, since it uses less digits than its factorization.

199381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 333 counting only the distinct ones).

The product of its digits is 1944, while the sum is 31.

The square root of 199381 is about 446.5209961469. The cubic root of 199381 is about 58.4199601816.

The spelling of 199381 in words is "one hundred ninety-nine thousand, three hundred eighty-one".

Divisors: 1 7 13 49 91 313 637 2191 4069 15337 28483 199381