Search a number
-
+
198192 = 2434129
BaseRepresentation
bin110000011000110000
3101001212110
4300120300
522320232
64125320
71453551
oct603060
9331773
10198192
111259a5
1296840
136c297
1452328
153dacc
hex30630

198192 has 20 divisors (see below), whose sum is σ = 512120. Its totient is φ = 66048.

The previous prime is 198179. The next prime is 198193. The reversal of 198192 is 291891.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (198193) by changing a digit.

198192 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2017 + ... + 2112.

It is an arithmetic number, because the mean of its divisors is an integer number (25606).

2198192 is an apocalyptic number.

198192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198192 is an abundant number, since it is smaller than the sum of its proper divisors (313928).

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

198192 is a wasteful number, since it uses less digits than its factorization.

198192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140 (or 4134 counting only the distinct ones).

The product of its digits is 1296, while the sum is 30.

The square root of 198192 is about 445.1876009055. The cubic root of 198192 is about 58.3036002668.

The spelling of 198192 in words is "one hundred ninety-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 4129 8258 12387 16516 24774 33032 49548 66064 99096 198192