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235116 = 22337311
BaseRepresentation
bin111001011001101100
3102221112000
4321121230
530010431
65012300
71666320
oct713154
9387460
10235116
11150712
12b4090
138302b
1461980
15499e6
hex3966c

235116 has 48 divisors (see below), whose sum is σ = 698880. Its totient is φ = 66960.

The previous prime is 235111. The next prime is 235117. The reversal of 235116 is 611532.

235116 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (235111) by changing a digit.

235116 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 in 15 ways as a sum of consecutive naturals, for example, 601 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (14560).

2235116 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 235116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349440).

235116 is an abundant number, since it is smaller than the sum of its proper divisors (463764).

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

235116 is a wasteful number, since it uses less digits than its factorization.

235116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 235116 is about 484.8876158452. The cubic root of 235116 is about 61.7202099692.

Adding to 235116 its reverse (611532), we get a palindrome (846648).

It can be divided in two parts, 235 and 116, that added together give a triangular number (351 = T26).

The spelling of 235116 in words is "two hundred thirty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 311 378 622 756 933 1244 1866 2177 2799 3732 4354 5598 6531 8397 8708 11196 13062 16794 19593 26124 33588 39186 58779 78372 117558 235116