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230111680 = 2654117539
BaseRepresentation
bin11011011011100…
…11100111000000
3121000222212212211
431231303213000
5432402033210
634500031504
75462626351
oct1555634700
9530885784
10230111680
1110898a347
1265092594
133889b076
14227bdd28
151530638a
hexdb739c0

230111680 has 56 divisors (see below), whose sum is σ = 561350160. Its totient is φ = 89794560.

The previous prime is 230111663. The next prime is 230111683. The reversal of 230111680 is 86111032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230111683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4351 + ... + 21889.

It is an arithmetic number, because the mean of its divisors is an integer number (10024110).

Almost surely, 2230111680 is an apocalyptic number.

230111680 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 230111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280675080).

230111680 is an abundant number, since it is smaller than the sum of its proper divisors (331238480).

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

230111680 is a wasteful number, since it uses less digits than its factorization.

230111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17597 (or 17587 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 230111680 is about 15169.4324218146. The cubic root of 230111680 is about 612.7917188763.

The spelling of 230111680 in words is "two hundred thirty million, one hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 17539 35078 70156 87695 140312 175390 280624 350780 561248 701560 719099 1122496 1403120 1438198 2806240 2876396 3595495 5612480 5752792 7190990 11505584 14381980 23011168 28763960 46022336 57527920 115055840 230111680