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230859520 = 285415383
BaseRepresentation
bin11011100001010…
…10001100000000
3121002101212201121
431300222030000
5433100001040
634524042024
75502162553
oct1560521400
9532355647
10230859520
111093501a1
1265393314
1338aa0588
142293669a
1515402c4a
hexdc2a300

230859520 has 144 divisors (see below), whose sum is σ = 584109792. Its totient is φ = 87326720.

The previous prime is 230859451. The next prime is 230859569. The reversal of 230859520 is 25958032.

It is a super-2 number, since 2×2308595202 = 106592235949260800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2781399 + ... + 2781481.

It is an arithmetic number, because the mean of its divisors is an integer number (4056318).

Almost surely, 2230859520 is an apocalyptic number.

230859520 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 230859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292054896).

230859520 is an abundant number, since it is smaller than the sum of its proper divisors (353250272).

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

230859520 is an equidigital number, since it uses as much as digits as its factorization.

230859520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 230859520 is about 15194.0619980307. The cubic root of 230859520 is about 613.4548383514.

The spelling of 230859520 in words is "two hundred thirty million, eight hundred fifty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 53 64 80 82 83 106 128 160 164 166 205 212 256 265 320 328 332 410 415 424 530 640 656 664 820 830 848 1060 1280 1312 1328 1640 1660 1696 2120 2173 2624 2656 3280 3320 3392 3403 4240 4346 4399 5248 5312 6560 6640 6784 6806 8480 8692 8798 10496 10624 10865 13120 13280 13568 13612 16960 17015 17384 17596 21248 21730 21995 26240 26560 27224 33920 34030 34768 35192 43460 43990 52480 53120 54448 67840 68060 69536 70384 86920 87980 106240 108896 136120 139072 140768 173840 175960 180359 217792 272240 278144 281536 347680 351920 360718 435584 544480 556288 563072 695360 703840 721436 871168 901795 1088960 1126144 1390720 1407680 1442872 1803590 2177920 2781440 2815360 2885744 3607180 4355840 5630720 5771488 7214360 11542976 14428720 23085952 28857440 46171904 57714880 115429760 230859520