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199168 = 29389
BaseRepresentation
bin110000101000000000
3101010012121
4300220000
522333133
64134024
71456444
oct605000
9333177
10199168
11126702
1297314
136c868
1452824
153e02d
hex30a00

199168 has 20 divisors (see below), whose sum is σ = 398970. Its totient is φ = 99328.

The previous prime is 199153. The next prime is 199181. The reversal of 199168 is 861991.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 12544 = 432^2 + 112^2 .

It is an unprimeable number.

199168 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 as a sum of consecutive naturals, namely, 318 + ... + 706.

2199168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199485).

199168 is an abundant number, since it is smaller than the sum of its proper divisors (199802).

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

199168 is an frugal number, since it uses more digits than its factorization.

199168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 391 counting only the distinct ones).

The product of its digits is 3888, while the sum is 34.

The square root of 199168 is about 446.2824217914. The cubic root of 199168 is about 58.3991492964.

The spelling of 199168 in words is "one hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 389 512 778 1556 3112 6224 12448 24896 49792 99584 199168