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230601888 = 25321183877
BaseRepresentation
bin11011011111010…
…11010010100000
3121001220210022200
431233223102200
5433013230023
634514333200
75500040466
oct1557532240
9531823280
10230601888
11109194680
126528a200
1338a1022a
14228aa836
15153a1743
hexdbeb4a0

230601888 has 144 divisors (see below), whose sum is σ = 724834656. Its totient is φ = 68958720.

The previous prime is 230601863. The next prime is 230601911. The reversal of 230601888 is 888106032.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262506 + ... + 263382.

It is an arithmetic number, because the mean of its divisors is an integer number (5033574).

Almost surely, 2230601888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230601888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362417328).

230601888 is an abundant number, since it is smaller than the sum of its proper divisors (494232768).

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

230601888 is a wasteful number, since it uses less digits than its factorization.

230601888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 230601888 is about 15185.5815825407. The cubic root of 230601888 is about 613.2265546103.

The spelling of 230601888 in words is "two hundred thirty million, six hundred one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 83 88 96 99 132 144 166 176 198 249 264 288 332 352 396 498 528 664 747 792 877 913 996 1056 1328 1494 1584 1754 1826 1992 2631 2656 2739 2988 3168 3508 3652 3984 5262 5478 5976 7016 7304 7893 7968 8217 9647 10524 10956 11952 14032 14608 15786 16434 19294 21048 21912 23904 28064 28941 29216 31572 32868 38588 42096 43824 57882 63144 65736 72791 77176 84192 86823 87648 115764 126288 131472 145582 154352 173646 218373 231528 252576 262944 291164 308704 347292 436746 463056 582328 655119 694584 800701 873492 926112 1164656 1310238 1389168 1601402 1746984 2329312 2402103 2620476 2778336 3202804 3493968 4804206 5240952 6405608 6987936 7206309 9608412 10481904 12811216 14412618 19216824 20963808 25622432 28825236 38433648 57650472 76867296 115300944 230601888