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230506752 = 283753809
BaseRepresentation
bin11011011110101…
…00000100000000
3121001201221211010
431233110010000
5433002204002
634512320520
75466163230
oct1557240400
9531657733
10230506752
1110912a153
1265243140
13389a8b38
1422883cc0
151538346c
hexdbd4100

230506752 has 144 divisors (see below), whose sum is σ = 715236480. Its totient is φ = 64536576.

The previous prime is 230506751. The next prime is 230506763. The reversal of 230506752 is 257605032.

It is not an unprimeable number, because it can be changed into a prime (230506751) 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, 284524 + ... + 285332.

It is an arithmetic number, because the mean of its divisors is an integer number (4966920).

Almost surely, 2230506752 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 230506752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357618240).

230506752 is an abundant number, since it is smaller than the sum of its proper divisors (484729728).

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

230506752 is an equidigital number, since it uses as much as digits as its factorization.

230506752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 230506752 is about 15182.4488143382. The cubic root of 230506752 is about 613.1422130832.

The spelling of 230506752 in words is "two hundred thirty million, five hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 256 318 336 371 384 424 448 636 672 742 768 809 848 896 1113 1272 1344 1484 1618 1696 1792 2226 2427 2544 2688 2968 3236 3392 4452 4854 5088 5376 5663 5936 6472 6784 8904 9708 10176 11326 11872 12944 13568 16989 17808 19416 20352 22652 23744 25888 33978 35616 38832 40704 42877 45304 47488 51776 67956 71232 77664 85754 90608 94976 103552 128631 135912 142464 155328 171508 181216 207104 257262 271824 284928 300139 310656 343016 362432 514524 543648 600278 621312 686032 724864 900417 1029048 1087296 1200556 1372064 1449728 1800834 2058096 2174592 2401112 2744128 3601668 4116192 4349184 4802224 5488256 7203336 8232384 9604448 10976512 14406672 16464768 19208896 28813344 32929536 38417792 57626688 76835584 115253376 230506752