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199914 = 231113233
BaseRepresentation
bin110000110011101010
3101011020020
4300303222
522344124
64141310
71461561
oct606352
9334206
10199914
11127220
1297836
136ccc0
1452bd8
153e379
hex30cea

199914 has 32 divisors (see below), whose sum is σ = 471744. Its totient is φ = 55680.

The previous prime is 199909. The next prime is 199921. The reversal of 199914 is 419991.

199914 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2199914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872).

199914 is an abundant number, since it is smaller than the sum of its proper divisors (271830).

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

199914 is a wasteful number, since it uses less digits than its factorization.

199914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262.

The product of its digits is 2916, while the sum is 33.

The square root of 199914 is about 447.1174342385. The cubic root of 199914 is about 58.4719713783.

The spelling of 199914 in words is "one hundred ninety-nine thousand, nine hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 233 286 429 466 699 858 1398 2563 3029 5126 6058 7689 9087 15378 18174 33319 66638 99957 199914