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238800 = 24352199
BaseRepresentation
bin111010010011010000
3110010120110
4322103100
530120200
65041320
72013132
oct722320
9403513
10238800
11153461
12b6240
1384903
1463052
154ab50
hex3a4d0

238800 has 60 divisors (see below), whose sum is σ = 768800. Its totient is φ = 63360.

The previous prime is 238789. The next prime is 238801. The reversal of 238800 is 8832.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238801) by changing a digit.

238800 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, 1101 + ... + 1299.

2238800 is an apocalyptic number.

238800 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 238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384400).

238800 is an abundant number, since it is smaller than the sum of its proper divisors (530000).

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

238800 is a wasteful number, since it uses less digits than its factorization.

238800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 238800 is about 488.6716689148. The cubic root of 238800 is about 62.0409025971.

The spelling of 238800 in words is "two hundred thirty-eight thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 199 200 240 300 398 400 597 600 796 995 1194 1200 1592 1990 2388 2985 3184 3980 4776 4975 5970 7960 9552 9950 11940 14925 15920 19900 23880 29850 39800 47760 59700 79600 119400 238800