Search a number
-
+
199212 = 223131277
BaseRepresentation
bin110000101000101100
3101010021020
4300220230
522333322
64134140
71456536
oct605054
9333236
10199212
11126742
1297350
136c8a0
1452856
153e05c
hex30a2c

199212 has 24 divisors (see below), whose sum is σ = 500976. Its totient is φ = 61248.

The previous prime is 199211. The next prime is 199247. The reversal of 199212 is 212991.

199212 is nontrivially palindromic in base 5.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 199212.

It is not an unprimeable number, because it can be changed into a prime (199211) by changing a digit.

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, 483 + ... + 794.

It is an arithmetic number, because the mean of its divisors is an integer number (20874).

2199212 is an apocalyptic number.

199212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199212 is an abundant number, since it is smaller than the sum of its proper divisors (301764).

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

199212 is a wasteful number, since it uses less digits than its factorization.

199212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1295 counting only the distinct ones).

The product of its digits is 324, while the sum is 24.

The square root of 199212 is about 446.3317152074. The cubic root of 199212 is about 58.4034494741.

The spelling of 199212 in words is "one hundred ninety-nine thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1277 2554 3831 5108 7662 15324 16601 33202 49803 66404 99606 199212