Search a number
-
+
236232 = 233217193
BaseRepresentation
bin111001101011001000
3110000001100
4321223020
530024412
65021400
72002503
oct715310
9400040
10236232
11151537
12b4860
13836a9
146213a
1549edc
hex39ac8

236232 has 48 divisors (see below), whose sum is σ = 680940. Its totient is φ = 73728.

The previous prime is 236231. The next prime is 236261. The reversal of 236232 is 232632.

236232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 236196 + 36 = 486^2 + 6^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2 + 37 + 211 + 66 + 311 + 213 .

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 236232.

It is not an unprimeable number, because it can be changed into a prime (236231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1128 + ... + 1320.

2236232 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 236232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340470).

236232 is an abundant number, since it is smaller than the sum of its proper divisors (444708).

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

236232 is a wasteful number, since it uses less digits than its factorization.

236232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 236232 is about 486.0370356259. The cubic root of 236232 is about 61.8177094438.

Adding to 236232 its reverse (232632), we get a palindrome (468864).

Subtracting from 236232 its reverse (232632), we obtain a square (3600 = 602).

The spelling of 236232 in words is "two hundred thirty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 193 204 306 386 408 579 612 772 1158 1224 1544 1737 2316 3281 3474 4632 6562 6948 9843 13124 13896 19686 26248 29529 39372 59058 78744 118116 236232