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230761460 = 225192632309
BaseRepresentation
bin11011100000100…
…10001111110100
3121002012220012202
431300102033310
5433033331320
634522004032
75501303636
oct1560221764
9532186182
10230761460
11109293556
1265346618
1338a67a57
142290ca56
15153d3b75
hexdc123f4

230761460 has 48 divisors (see below), whose sum is σ = 512265600. Its totient is φ = 87076224.

The previous prime is 230761459. The next prime is 230761469. The reversal of 230761460 is 64167032.

230761460 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 (230761469) 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, 98786 + ... + 101094.

It is an arithmetic number, because the mean of its divisors is an integer number (10672200).

Almost surely, 2230761460 is an apocalyptic number.

230761460 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 230761460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256132800).

230761460 is an abundant number, since it is smaller than the sum of its proper divisors (281504140).

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

230761460 is a wasteful number, since it uses less digits than its factorization.

230761460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 230761460 is about 15190.8347367747. The cubic root of 230761460 is about 613.3679689273.

The spelling of 230761460 in words is "two hundred thirty million, seven hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 263 380 526 1052 1315 2309 2630 4618 4997 5260 9236 9994 11545 19988 23090 24985 43871 46180 49970 87742 99940 175484 219355 438710 607267 877420 1214534 2429068 3036335 6072670 11538073 12145340 23076146 46152292 57690365 115380730 230761460