Search a number
-
+
238910256 = 243313192239
BaseRepresentation
bin11100011110101…
…11101100110000
3121122112220021000
432033113230300
5442130112011
635412402000
75630463234
oct1617275460
9548486230
10238910256
111129498a2
1268016300
133a65bb20
1423a305c4
1515e93356
hexe3d7b30

238910256 has 160 divisors (see below), whose sum is σ = 777728000. Its totient is φ = 69610752.

The previous prime is 238910227. The next prime is 238910263. The reversal of 238910256 is 652019832.

It is a super-2 number, since 2×2389102562 = 114156220843971072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 238910256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105585 + ... + 107823.

It is an arithmetic number, because the mean of its divisors is an integer number (4860800).

Almost surely, 2238910256 is an apocalyptic number.

238910256 is a gapful number since it is divisible by the number (26) 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 238910256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388864000).

238910256 is an abundant number, since it is smaller than the sum of its proper divisors (538817744).

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

238910256 is a wasteful number, since it uses less digits than its factorization.

238910256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 238910256 is about 15456.7220328244. The cubic root of 238910256 is about 620.5044939951.

The spelling of 238910256 in words is "two hundred thirty-eight million, nine hundred ten thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 208 216 228 234 247 304 312 342 351 432 456 468 494 513 624 684 702 741 912 936 988 1026 1368 1404 1482 1872 1976 2052 2223 2239 2736 2808 2964 3952 4104 4446 4478 5616 5928 6669 6717 8208 8892 8956 11856 13338 13434 17784 17912 20151 26676 26868 29107 35568 35824 40302 42541 53352 53736 58214 60453 80604 85082 87321 106704 107472 116428 120906 127623 161208 170164 174642 232856 241812 255246 261963 322416 340328 349284 382869 465712 483624 510492 523926 553033 680656 698568 765738 785889 967248 1020984 1047852 1106066 1148607 1397136 1531476 1571778 1659099 2041968 2095704 2212132 2297214 3062952 3143556 3318198 4191408 4424264 4594428 4977297 6125904 6287112 6636396 8848528 9188856 9954594 12574224 13272792 14931891 18377712 19909188 26545584 29863782 39818376 59727564 79636752 119455128 238910256