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230712460 = 225113792767
BaseRepresentation
bin11011100000001…
…10010010001100
3121002010101222221
431300012102030
5433030244320
634520545124
75501011036
oct1560062214
9532111887
10230712460
1110925a760
12653221a4
1338a4b664
14228d8c56
15153c43aa
hexdc0648c

230712460 has 48 divisors (see below), whose sum is σ = 530127360. Its totient is φ = 83643840.

The previous prime is 230712409. The next prime is 230712467. The reversal of 230712460 is 64217032.

It is not an unprimeable number, because it can be changed into a prime (230712467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81997 + ... + 84763.

It is an arithmetic number, because the mean of its divisors is an integer number (11044320).

Almost surely, 2230712460 is an apocalyptic number.

230712460 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 230712460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265063680).

230712460 is an abundant number, since it is smaller than the sum of its proper divisors (299414900).

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

230712460 is a wasteful number, since it uses less digits than its factorization.

230712460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 230712460 is about 15189.2218365524. The cubic root of 230712460 is about 613.3245515703.

Adding to 230712460 its reverse (64217032), we get a palindrome (294929492).

The spelling of 230712460 in words is "two hundred thirty million, seven hundred twelve thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 379 758 1516 1895 2767 3790 4169 5534 7580 8338 11068 13835 16676 20845 27670 30437 41690 55340 60874 83380 121748 152185 304370 608740 1048693 2097386 4194772 5243465 10486930 11535623 20973860 23071246 46142492 57678115 115356230 230712460