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238857000 = 23353103773
BaseRepresentation
bin11100011110010…
…10101100101000
3121122110012012120
432033022230220
5442121411000
635411311240
75630152044
oct1617125450
9548405176
10238857000
11112912888
1267bab520
133a640805
1423a19024
1515e826a0
hexe3cab28

238857000 has 128 divisors (see below), whose sum is σ = 753442560. Its totient is φ = 62995200.

The previous prime is 238856951. The next prime is 238857007. The reversal of 238857000 is 758832.

238857000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (238857007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308614 + ... + 309386.

It is an arithmetic number, because the mean of its divisors is an integer number (5886270).

Almost surely, 2238857000 is an apocalyptic number.

238857000 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 238857000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376721280).

238857000 is an abundant number, since it is smaller than the sum of its proper divisors (514585560).

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

238857000 is a wasteful number, since it uses less digits than its factorization.

238857000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 238857000 is about 15454.9991912002. Note that the first 3 decimals coincide. The cubic root of 238857000 is about 620.4583845709.

The spelling of 238857000 in words is "two hundred thirty-eight million, eight hundred fifty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 103 120 125 150 200 206 250 300 309 375 412 500 515 600 618 750 773 824 1000 1030 1236 1500 1545 1546 2060 2319 2472 2575 3000 3090 3092 3865 4120 4638 5150 6180 6184 7725 7730 9276 10300 11595 12360 12875 15450 15460 18552 19325 20600 23190 25750 30900 30920 38625 38650 46380 51500 57975 61800 77250 77300 79619 92760 96625 103000 115950 154500 154600 159238 193250 231900 238857 289875 309000 318476 386500 398095 463800 477714 579750 636952 773000 796190 955428 1159500 1194285 1592380 1910856 1990475 2319000 2388570 3184760 3980950 4777140 5971425 7961900 9554280 9952375 11942850 15923800 19904750 23885700 29857125 39809500 47771400 59714250 79619000 119428500 238857000