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230157568 = 281316863
BaseRepresentation
bin11011011011111…
…10110100000000
3121001002012211101
431231332310000
5432410020233
634501024144
75463210214
oct1555766400
9531065741
10230157568
11108a10873
12650b5054
13388b5c14
14227d2944
1515314c7d
hexdb7ed00

230157568 has 36 divisors (see below), whose sum is σ = 462990528. Its totient is φ = 114183680.

The previous prime is 230157553. The next prime is 230157569. The reversal of 230157568 is 865751032.

It is a super-2 number, since 2×2301575682 = 105945012215349248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230157569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30105 + ... + 36967.

It is an arithmetic number, because the mean of its divisors is an integer number (12860848).

Almost surely, 2230157568 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 230157568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231495264).

230157568 is an abundant number, since it is smaller than the sum of its proper divisors (232832960).

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

230157568 is an equidigital number, since it uses as much as digits as its factorization.

230157568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 230157568 is about 15170.9448618074. The cubic root of 230157568 is about 612.8324497038.

The spelling of 230157568 in words is "two hundred thirty million, one hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 524 1048 2096 4192 6863 8384 13726 16768 27452 33536 54904 109808 219616 439232 878464 899053 1756928 1798106 3596212 7192424 14384848 28769696 57539392 115078784 230157568