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230458368 = 2103721531
BaseRepresentation
bin11011011110010…
…00010000000000
3121001122111110010
431233020100000
5432444131433
634511304520
75465602200
oct1557102000
9531574403
10230458368
111090a6868
126521b140
133898caca
1422870400
1515373e63
hexdbc8400

230458368 has 132 divisors (see below), whose sum is σ = 715008912. Its totient is φ = 65802240.

The previous prime is 230458351. The next prime is 230458369. The reversal of 230458368 is 863854032.

It is a super-2 number, since 2×2304583682 = 106222118762446848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230458369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149763 + ... + 151293.

Almost surely, 2230458368 is an apocalyptic number.

230458368 is a gapful number since it is divisible by the number (28) 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 230458368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357504456).

230458368 is an abundant number, since it is smaller than the sum of its proper divisors (484550544).

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

230458368 is a wasteful number, since it uses less digits than its factorization.

230458368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 230458368 is about 15180.8553118723. The cubic root of 230458368 is about 613.0993100033.

It can be divided in two parts, 23045 and 8368, that added together give a palindrome (31413).

The spelling of 230458368 in words is "two hundred thirty million, four hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1531 1536 1568 1792 2352 2688 3062 3072 3136 3584 4593 4704 5376 6124 6272 7168 9186 9408 10717 10752 12248 12544 18372 18816 21434 21504 24496 25088 32151 36744 37632 42868 48992 50176 64302 73488 75019 75264 85736 97984 128604 146976 150038 150528 171472 195968 225057 257208 293952 300076 342944 391936 450114 514416 587904 600152 685888 783872 900228 1028832 1175808 1200304 1371776 1567744 1800456 2057664 2351616 2400608 2743552 3600912 4115328 4703232 4801216 5487104 7201824 8230656 9602432 10974208 14403648 16461312 19204864 28807296 32922624 38409728 57614592 76819456 115229184 230458368