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230189568 = 293779271
BaseRepresentation
bin11011011100001…
…10101000000000
3121001010211201120
431232012220000
5432412031233
634501432240
75463402420
oct1556065000
9531124646
10230189568
11108a32914
126510b680
13388c765b
1422800480
151531e4b3
hexdb86a00

230189568 has 160 divisors (see below), whose sum is σ = 712335360. Its totient is φ = 64696320.

The previous prime is 230189551. The next prime is 230189569. The reversal of 230189568 is 865981032.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230189569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849273 + ... + 849543.

It is an arithmetic number, because the mean of its divisors is an integer number (4452096).

Almost surely, 2230189568 is an apocalyptic number.

230189568 is a gapful number since it is divisible by the number (28) 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 230189568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356167680).

230189568 is an abundant number, since it is smaller than the sum of its proper divisors (482145792).

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

230189568 is an equidigital number, since it uses as much as digits as its factorization.

230189568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 230189568 is about 15171.9994727129. Note that the first 3 decimals coincide. The cubic root of 230189568 is about 612.8608501453.

The spelling of 230189568 in words is "two hundred thirty million, one hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 256 271 316 336 384 448 474 512 542 553 632 672 768 813 896 948 1084 1106 1264 1344 1536 1626 1659 1792 1896 1897 2168 2212 2528 2688 3252 3318 3584 3792 3794 4336 4424 5056 5376 5691 6504 6636 7584 7588 8672 8848 10112 10752 11382 13008 13272 15168 15176 17344 17696 20224 21409 22764 26016 26544 30336 30352 34688 35392 40448 42818 45528 52032 53088 60672 60704 64227 69376 70784 85636 91056 104064 106176 121344 121408 128454 138752 141568 149863 171272 182112 208128 212352 242816 256908 283136 299726 342544 364224 416256 424704 449589 485632 513816 599452 685088 728448 849408 899178 971264 1027632 1198904 1370176 1456896 1798356 2055264 2397808 2740352 2913792 3596712 4110528 4795616 5480704 7193424 8221056 9591232 10961408 14386848 16442112 19182464 28773696 32884224 38364928 57547392 76729856 115094784 230189568