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230315320 = 23517577587
BaseRepresentation
bin11011011101001…
…01010100111000
3121001101020020001
431232211110320
5432430042240
634504242344
75464435144
oct1556452470
9531336201
10230315320
11109009344
12651703b4
133893c971
1422834224
151534689a
hexdba5538

230315320 has 64 divisors (see below), whose sum is σ = 550579680. Its totient is φ = 86409216.

The previous prime is 230315299. The next prime is 230315329. The reversal of 230315320 is 23513032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230315329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392067 + ... + 392653.

Almost surely, 2230315320 is an apocalyptic number.

230315320 is a gapful number since it is divisible by the number (20) 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 230315320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275289840).

230315320 is an abundant number, since it is smaller than the sum of its proper divisors (320264360).

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

230315320 is a wasteful number, since it uses less digits than its factorization.

230315320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 230315320 is about 15176.1431200421. The cubic root of 230315320 is about 612.9724312918.

Adding to 230315320 its reverse (23513032), we get a palindrome (253828352).

The spelling of 230315320 in words is "two hundred thirty million, three hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 577 587 680 1154 1174 2308 2348 2885 2935 4616 4696 5770 5870 9809 9979 11540 11740 19618 19958 23080 23480 39236 39916 49045 49895 78472 79832 98090 99790 196180 199580 338699 392360 399160 677398 1354796 1693495 2709592 3386990 5757883 6773980 11515766 13547960 23031532 28789415 46063064 57578830 115157660 230315320