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230107668 = 22373197911
BaseRepresentation
bin11011011011100…
…10101000010100
3121000222200101020
431231302220110
5432401421133
634500001140
75462611560
oct1555625024
9530880336
10230107668
1110898732a
12650901b0
13388992ab
14227bc6a0
15153050b3
hexdb72a14

230107668 has 96 divisors (see below), whose sum is σ = 640647168. Its totient is φ = 62899200.

The previous prime is 230107667. The next prime is 230107687. The reversal of 230107668 is 866701032.

230107668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230107667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252133 + ... + 253043.

It is an arithmetic number, because the mean of its divisors is an integer number (6673408).

Almost surely, 2230107668 is an apocalyptic number.

230107668 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 230107668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320323584).

230107668 is an abundant number, since it is smaller than the sum of its proper divisors (410539500).

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

230107668 is a wasteful number, since it uses less digits than its factorization.

230107668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 230107668 is about 15169.3001816168. The cubic root of 230107668 is about 612.7881575119.

The spelling of 230107668 in words is "two hundred thirty million, one hundred seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 97 124 186 194 217 291 372 388 434 582 651 679 868 911 1164 1302 1358 1822 2037 2604 2716 2733 3007 3644 4074 5466 6014 6377 8148 9021 10932 12028 12754 18042 19131 21049 25508 28241 36084 38262 42098 56482 63147 76524 84196 84723 88367 112964 126294 169446 176734 197687 252588 265101 338892 353468 395374 530202 593061 618569 790748 1060404 1186122 1237138 1855707 2372244 2474276 2739377 3711414 5478754 7422828 8218131 10957508 16436262 19175639 32872524 38351278 57526917 76702556 115053834 230107668