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200112 = 24311379
BaseRepresentation
bin110000110110110000
3101011111120
4300312300
522400422
64142240
71462263
oct606660
9334446
10200112
11127390
1297980
1370113
1452cda
153e45c
hex30db0

200112 has 40 divisors (see below), whose sum is σ = 565440. Its totient is φ = 60480.

The previous prime is 200087. The next prime is 200117. The reversal of 200112 is 211002.

It is a happy number.

200112 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 200112.

It is not an unprimeable number, because it can be changed into a prime (200117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339 + ... + 717.

It is an arithmetic number, because the mean of its divisors is an integer number (14136).

2200112 is an apocalyptic number.

200112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282720).

200112 is an abundant number, since it is smaller than the sum of its proper divisors (365328).

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

200112 is a wasteful number, since it uses less digits than its factorization.

200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 200112 is about 447.3387977808. The cubic root of 200112 is about 58.4912690601.

Adding to 200112 its reverse (211002), we get a palindrome (411114).

The spelling of 200112 in words is "two hundred thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 379 528 758 1137 1516 2274 3032 4169 4548 6064 8338 9096 12507 16676 18192 25014 33352 50028 66704 100056 200112