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232260 = 22357279
BaseRepresentation
bin111000101101000100
3102210121020
4320231010
524413020
64551140
71655100
oct705504
9383536
10232260
11149556
12b24b0
1381942
1460900
1548c40
hex38b44

232260 has 72 divisors (see below), whose sum is σ = 766080. Its totient is φ = 52416.

The previous prime is 232259. The next prime is 232303. The reversal of 232260 is 62232.

232260 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 (15).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 232260.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2901 + ... + 2979.

It is an arithmetic number, because the mean of its divisors is an integer number (10640).

2232260 is an apocalyptic number.

232260 is a gapful number since it is divisible by the number (20) 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 232260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040).

232260 is an abundant number, since it is smaller than the sum of its proper divisors (533820).

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

232260 is a wasteful number, since it uses less digits than its factorization.

232260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 232260 is about 481.9336053856. The cubic root of 232260 is about 61.4692820355.

Adding to 232260 its reverse (62232), we get a palindrome (294492).

The spelling of 232260 in words is "two hundred thirty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 79 84 98 105 140 147 158 196 210 237 245 294 316 395 420 474 490 553 588 735 790 948 980 1106 1185 1470 1580 1659 2212 2370 2765 2940 3318 3871 4740 5530 6636 7742 8295 11060 11613 15484 16590 19355 23226 33180 38710 46452 58065 77420 116130 232260