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201168 = 243211127
BaseRepresentation
bin110001000111010000
3101012221200
4301013100
522414133
64151200
71465332
oct610720
9335850
10201168
11128160
1298500
1370746
1453452
153e913
hex311d0

201168 has 60 divisors (see below), whose sum is σ = 619008. Its totient is φ = 60480.

The previous prime is 201167. The next prime is 201193. The reversal of 201168 is 861102.

201168 is digitally balanced in base 3, 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 (18).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 201168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201163) 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 11 ways as a sum of consecutive naturals, for example, 1521 + ... + 1647.

2201168 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 201168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309504).

201168 is an abundant number, since it is smaller than the sum of its proper divisors (417840).

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

201168 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 201168 = (128160)11.

201168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 201168 is about 448.5175581847. The cubic root of 201168 is about 58.5939756258.

The spelling of 201168 in words is "two hundred one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 127 132 144 176 198 254 264 381 396 508 528 762 792 1016 1143 1397 1524 1584 2032 2286 2794 3048 4191 4572 5588 6096 8382 9144 11176 12573 16764 18288 22352 25146 33528 50292 67056 100584 201168