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238293 = 32112983
BaseRepresentation
bin111010001011010101
3110002212200
4322023111
530111133
65035113
72011506
oct721325
9402780
10238293
11153040
12b5a99
1384603
1462bad
154a913
hex3a2d5

238293 has 24 divisors (see below), whose sum is σ = 393120. Its totient is φ = 137760.

The previous prime is 238291. The next prime is 238307. The reversal of 238293 is 392832.

It is not a de Polignac number, because 238293 - 21 = 238291 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 25 + 310 + 211 + 8 + 9 + 311 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2830 + ... + 2912.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2238293 is an apocalyptic number.

It is an amenable number.

238293 is a deficient number, since it is larger than the sum of its proper divisors (154827).

238293 is a wasteful number, since it uses less digits than its factorization.

238293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 126 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 238293 is about 488.1526400625. The cubic root of 238293 is about 61.9969648185.

It can be divided in two parts, 23829 and 3, that added together give a palindrome (23832).

The spelling of 238293 in words is "two hundred thirty-eight thousand, two hundred ninety-three".

Divisors: 1 3 9 11 29 33 83 87 99 249 261 319 747 913 957 2407 2739 2871 7221 8217 21663 26477 79431 238293