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230680944 = 24321329479
BaseRepresentation
bin11011011111111…
…10100101110000
3121002001210202200
431233332211300
5433023242234
634520143200
75500520124
oct1557764560
9532053680
10230680944
1110923900a
1265307b00
1338a3a200
14228cb584
15153b9d99
hexdbfe970

230680944 has 90 divisors (see below), whose sum is σ = 699140520. Its totient is φ = 70971264.

The previous prime is 230680943. The next prime is 230680991. The reversal of 230680944 is 449086032.

It is a happy number.

It is a super-2 number, since 2×2306809442 = 106427395849462272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230680899 and 230680908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230680943) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19597 + ... + 29075.

It is an arithmetic number, because the mean of its divisors is an integer number (7768228).

Almost surely, 2230680944 is an apocalyptic number.

230680944 is a gapful number since it is divisible by the number (24) 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 230680944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349570260).

230680944 is an abundant number, since it is smaller than the sum of its proper divisors (468459576).

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

230680944 is a wasteful number, since it uses less digits than its factorization.

230680944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9519 (or 9497 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 230680944 is about 15188.1843549517. The cubic root of 230680944 is about 613.2966229866.

The spelling of 230680944 in words is "two hundred thirty million, six hundred eighty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 9479 12168 18958 24336 28437 37916 56874 75832 85311 113748 123227 151664 170622 227496 246454 341244 369681 454992 492908 682488 739362 985816 1109043 1364976 1478724 1601951 1971632 2218086 2957448 3203902 4436172 4805853 5914896 6407804 8872344 9611706 12815608 14417559 17744688 19223412 25631216 28835118 38446824 57670236 76893648 115340472 230680944