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230684460 = 223547179457
BaseRepresentation
bin11011011111111…
…11011100101100
3121002001222120220
431233333130230
5433023400320
634520211340
75500533306
oct1557773454
9532058526
10230684460
11109240716
1265309b50
1338a3b9a6
14228cc976
15153bae40
hexdbff72c

230684460 has 96 divisors (see below), whose sum is σ = 664796160. Its totient is φ = 59739648.

The previous prime is 230684429. The next prime is 230684471. The reversal of 230684460 is 64486032.

230684460 is a nontrivial binomial coefficient, being equal to C(21480, 2).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504552 + ... + 505008.

It is an arithmetic number, because the mean of its divisors is an integer number (6924960).

Almost surely, 2230684460 is an apocalyptic number.

230684460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

230684460 is the 21479-th triangular number and also the 10740-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230684460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332398080).

230684460 is an abundant number, since it is smaller than the sum of its proper divisors (434111700).

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

230684460 is a wasteful number, since it uses less digits than its factorization.

230684460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 230684460 is about 15188.3001023814. The cubic root of 230684460 is about 613.2997388919.

The spelling of 230684460 in words is "two hundred thirty million, six hundred eighty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 179 188 235 282 358 457 470 537 564 705 716 895 914 940 1074 1371 1410 1790 1828 2148 2285 2685 2742 2820 3580 4570 5370 5484 6855 8413 9140 10740 13710 16826 21479 25239 27420 33652 42065 42958 50478 64437 81803 84130 85916 100956 107395 126195 128874 163606 168260 214790 245409 252390 257748 322185 327212 409015 429580 490818 504780 644370 818030 981636 1227045 1288740 1636060 2454090 3844741 4908180 7689482 11534223 15378964 19223705 23068446 38447410 46136892 57671115 76894820 115342230 230684460