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238230531 = 337111937163
BaseRepresentation
bin11100011001100…
…01110000000011
3121121021100212000
432030301300003
5441441334111
635350035043
75621632440
oct1614616003
9547240760
10238230531
11112525140
1267948a83
133a481616
14238d49c7
1515dabc56
hexe331c03

238230531 has 128 divisors (see below), whose sum is σ = 478617600. Its totient is φ = 113374080.

The previous prime is 238230529. The next prime is 238230547. The reversal of 238230531 is 135032832.

238230531 is a `hidden beast` number, since 23 + 82 + 30 + 531 = 666.

It is not a de Polignac number, because 238230531 - 21 = 238230529 is a prime.

It is a super-2 number, since 2×2382305312 = 113507571801083922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 238230495 and 238230504.

It is not an unprimeable number, because it can be changed into a prime (238230511) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1461456 + ... + 1461618.

It is an arithmetic number, because the mean of its divisors is an integer number (3739200).

Almost surely, 2238230531 is an apocalyptic number.

238230531 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

238230531 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

238230531 is a wasteful number, since it uses less digits than its factorization.

238230531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 238230531 is about 15434.7183647775. The cubic root of 238230531 is about 619.9154680105.

The spelling of 238230531 in words is "two hundred thirty-eight million, two hundred thirty thousand, five hundred thirty-one".

Divisors: 1 3 7 9 11 19 21 27 33 37 57 63 77 99 111 133 163 171 189 209 231 259 297 333 399 407 489 513 627 693 703 777 999 1141 1197 1221 1463 1467 1793 1881 2079 2109 2331 2849 3097 3423 3591 3663 4389 4401 4921 5379 5643 6031 6327 6993 7733 8547 9291 10269 10989 12551 13167 14763 16137 18093 18981 21679 23199 25641 27873 30807 34067 37653 39501 42217 44289 48411 54131 54279 65037 66341 69597 76923 83619 102201 112959 114589 126651 132867 162393 162837 195111 199023 208791 238469 306603 338877 343767 379953 464387 487179 585333 597069 715407 802123 919809 1031301 1139859 1260479 1393161 1461537 1791207 2146221 2406369 3093903 3781437 4179483 6438663 7219107 8823353 11344311 12538449 21657321 26470059 34032933 79410177 238230531