Search a number
-
+
2238 = 23373
BaseRepresentation
bin100010111110
310001220
4202332
532423
614210
76345
oct4276
93056
102238
111755
121366
131032
14b5c
159e3
hex8be

2238 has 8 divisors (see below), whose sum is σ = 4488. Its totient is φ = 744.

The previous prime is 2237. The next prime is 2239. The reversal of 2238 is 8322.

2238 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (2237) and next prime (2239).

It is a sphenic number, since it is the product of 3 distinct primes.

2238 is an admirable number.

It is a plaindrome in base 10, base 12 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 181 + ... + 192.

It is an arithmetic number, because the mean of its divisors is an integer number (561).

22238 is an apocalyptic number.

2238 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244).

2238 is a wasteful number, since it uses less digits than its factorization.

2238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378.

The product of its digits is 96, while the sum is 15.

The square root of 2238 is about 47.3075046901. The cubic root of 2238 is about 13.0803699547.

Subtracting 2238 from its reverse (8322), we obtain a square (6084 = 782).

It can be divided in two parts, 223 and 8, that added together give a triangular number (231 = T21).

The spelling of 2238 in words is "two thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 373 746 1119 2238