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199932 = 22316661
BaseRepresentation
bin110000110011111100
3101011020220
4300303330
522344212
64141340
71461615
oct606374
9334226
10199932
11127237
1297850
1370005
1452c0c
153e38c
hex30cfc

199932 has 12 divisors (see below), whose sum is σ = 466536. Its totient is φ = 66640.

The previous prime is 199931. The next prime is 199933. The reversal of 199932 is 239991.

It is an interprime number because it is at equal distance from previous prime (199931) and next prime (199933).

It is a tau number, because it is divible by the number of its divisors (12).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 199893 and 199902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199931) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8319 + ... + 8342.

It is an arithmetic number, because the mean of its divisors is an integer number (38878).

2199932 is an apocalyptic number.

199932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199932 is an abundant number, since it is smaller than the sum of its proper divisors (266604).

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

199932 is a wasteful number, since it uses less digits than its factorization.

199932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16668 (or 16666 counting only the distinct ones).

The product of its digits is 4374, while the sum is 33.

The square root of 199932 is about 447.1375627254. The cubic root of 199932 is about 58.4737262394.

The spelling of 199932 in words is "one hundred ninety-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 16661 33322 49983 66644 99966 199932