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232232 = 237111329
BaseRepresentation
bin111000101100101000
3102210120012
4320230220
524412412
64551052
71655030
oct705450
9383505
10232232
11149530
12b2488
1381920
14608c0
1548c22
hex38b28

232232 has 64 divisors (see below), whose sum is σ = 604800. Its totient is φ = 80640.

The previous prime is 232217. The next prime is 232259.

232232 is nontrivially palindromic in base 10.

232232 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 (14).

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, 7994 + ... + 8022.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2232232 is an apocalyptic number.

232232 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 232232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

232232 is an abundant number, since it is smaller than the sum of its proper divisors (372568).

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

232232 is a wasteful number, since it uses less digits than its factorization.

232232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 62 counting only the distinct ones).

The product of its digits is 144, while the sum is 14.

The square root of 232232 is about 481.9045548654. The cubic root of 232232 is about 61.4668118023.

It can be divided in two parts, 232 and 232, that added together give a palindrome (464).

The spelling of 232232 in words is "two hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 29 44 52 56 58 77 88 91 104 116 143 154 182 203 232 286 308 319 364 377 406 572 616 638 728 754 812 1001 1144 1276 1508 1624 2002 2233 2552 2639 3016 4004 4147 4466 5278 8008 8294 8932 10556 16588 17864 21112 29029 33176 58058 116116 232232