Search a number
-
+
242256 = 24372103
BaseRepresentation
bin111011001001010000
3110022022110
4323021100
530223011
65105320
72026200
oct731120
9408273
10242256
11156013
12b8240
1386361
1464400
154bba6
hex3b250

242256 has 60 divisors (see below), whose sum is σ = 735072. Its totient is φ = 68544.

The previous prime is 242243. The next prime is 242257. The reversal of 242256 is 652242.

242256 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 (21).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242257) by changing a digit.

242256 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, 2301 + ... + 2403.

2242256 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 242256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367536).

242256 is an abundant number, since it is smaller than the sum of its proper divisors (492816).

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

242256 is a wasteful number, since it uses less digits than its factorization.

242256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 242256 is about 492.1950832749. The cubic root of 242256 is about 62.3387630668.

Adding to 242256 its reverse (652242), we get a palindrome (894498).

The spelling of 242256 in words is "two hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 103 112 147 168 196 206 294 309 336 392 412 588 618 721 784 824 1176 1236 1442 1648 2163 2352 2472 2884 4326 4944 5047 5768 8652 10094 11536 15141 17304 20188 30282 34608 40376 60564 80752 121128 242256