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238000 = 2453717
BaseRepresentation
bin111010000110110000
3110002110211
4322012300
530104000
65033504
72010610
oct720660
9402424
10238000
111528a4
12b5894
1384439
1462a40
154a7ba
hex3a1b0

238000 has 80 divisors (see below), whose sum is σ = 696384. Its totient is φ = 76800.

The previous prime is 237997. The next prime is 238001. The reversal of 238000 is 832.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (238001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13992 + ... + 14008.

2238000 is an apocalyptic number.

238000 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 238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348192).

238000 is an abundant number, since it is smaller than the sum of its proper divisors (458384).

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

238000 is a wasteful number, since it uses less digits than its factorization.

238000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 238000 is about 487.8524367060. The cubic root of 238000 is about 61.9715443474.

Adding to 238000 its reverse (832), we get a palindrome (238832).

The spelling of 238000 in words is "two hundred thirty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 50 56 68 70 80 85 100 112 119 125 136 140 170 175 200 238 250 272 280 340 350 400 425 476 500 560 595 680 700 850 875 952 1000 1190 1360 1400 1700 1750 1904 2000 2125 2380 2800 2975 3400 3500 4250 4760 5950 6800 7000 8500 9520 11900 14000 14875 17000 23800 29750 34000 47600 59500 119000 238000