Search a number
-
+
232668 = 223223281
BaseRepresentation
bin111000110011011100
3102211011100
4320303130
524421133
64553100
71656222
oct706334
9384140
10232668
11149897
12b2790
1381b97
1460b12
1548e13
hex38cdc

232668 has 36 divisors (see below), whose sum is σ = 615888. Its totient is φ = 73920.

The previous prime is 232663. The next prime is 232669. The reversal of 232668 is 866232.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232663) by changing a digit.

232668 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 11 ways as a sum of consecutive naturals, for example, 688 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (17108).

2232668 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 232668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307944).

232668 is an abundant number, since it is smaller than the sum of its proper divisors (383220).

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

232668 is a wasteful number, since it uses less digits than its factorization.

232668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 232668 is about 482.3567144759. The cubic root of 232668 is about 61.5052543597.

It can be divided in two parts, 232 and 668, that added together give a square (900 = 302).

The spelling of 232668 in words is "two hundred thirty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 281 414 562 828 843 1124 1686 2529 3372 5058 6463 10116 12926 19389 25852 38778 58167 77556 116334 232668