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230535168 = 212373257
BaseRepresentation
bin11011011110110…
…11000000000000
3121001210101210120
431233123000000
5433004111133
634513100240
75466342123
oct1557330000
9531711716
10230535168
11109149536
1265257680
13389b8a56
14228903ba
151538bab3
hexdbdb000

230535168 has 104 divisors (see below), whose sum is σ = 625530288. Its totient is φ = 75497472.

The previous prime is 230535163. The next prime is 230535191. The reversal of 230535168 is 861535032.

It is not an unprimeable number, because it can be changed into a prime (230535163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 896896 + ... + 897152.

Almost surely, 2230535168 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 230535168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312765144).

230535168 is an abundant number, since it is smaller than the sum of its proper divisors (394995120).

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

230535168 is an equidigital number, since it uses as much as digits as its factorization.

230535168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 230535168 is about 15183.3846029138. The cubic root of 230535168 is about 613.1674073318.

It can be divided in two parts, 2305 and 35168, that added together give a palindrome (37473).

The spelling of 230535168 in words is "two hundred thirty million, five hundred thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 257 292 384 438 512 514 584 768 771 876 1024 1028 1168 1536 1542 1752 2048 2056 2336 3072 3084 3504 4096 4112 4672 6144 6168 7008 8224 9344 12288 12336 14016 16448 18688 18761 24672 28032 32896 37376 37522 49344 56064 56283 65792 74752 75044 98688 112128 112566 131584 149504 150088 197376 224256 225132 263168 299008 300176 394752 448512 450264 526336 600352 789504 897024 900528 1052672 1200704 1579008 1801056 2401408 3158016 3602112 4802816 7204224 9605632 14408448 19211264 28816896 38422528 57633792 76845056 115267584 230535168