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198271 = 17107109
BaseRepresentation
bin110000011001111111
3101001222101
4300121333
522321041
64125531
71454023
oct603177
9331871
10198271
11125a67
12968a7
136c328
1452383
153db31
hex3067f

198271 has 8 divisors (see below), whose sum is σ = 213840. Its totient is φ = 183168.

The previous prime is 198259. The next prime is 198277. The reversal of 198271 is 172891.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 198271 - 29 = 197759 is a prime.

It is a super-2 number, since 2×1982712 = 78622778882, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1765 + ... + 1873.

It is an arithmetic number, because the mean of its divisors is an integer number (26730).

2198271 is an apocalyptic number.

198271 is a deficient number, since it is larger than the sum of its proper divisors (15569).

198271 is a wasteful number, since it uses less digits than its factorization.

198271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233.

The product of its digits is 1008, while the sum is 28.

The square root of 198271 is about 445.2763187056. The cubic root of 198271 is about 58.3113459084.

The spelling of 198271 in words is "one hundred ninety-eight thousand, two hundred seventy-one".

Divisors: 1 17 107 109 1819 1853 11663 198271