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230217460 = 225114125523
BaseRepresentation
bin11011011100011…
…01011011110100
3121001012020222121
431232031123310
5432413424320
634502205324
75463546634
oct1556153364
9531166877
10230217460
11108a51870
1265123844
1338907265
142280a6c4
15153278aa
hexdb8d6f4

230217460 has 48 divisors (see below), whose sum is σ = 540292032. Its totient is φ = 81670400.

The previous prime is 230217443. The next prime is 230217487. The reversal of 230217460 is 64712032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3742 + ... + 21781.

It is an arithmetic number, because the mean of its divisors is an integer number (11256084).

Almost surely, 2230217460 is an apocalyptic number.

230217460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230217460 is an abundant number, since it is smaller than the sum of its proper divisors (310074572).

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

230217460 is a wasteful number, since it uses less digits than its factorization.

230217460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25584 (or 25582 counting only the distinct ones).

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

The square root of 230217460 is about 15172.9186381526. The cubic root of 230217460 is about 612.8856025332.

Adding to 230217460 its reverse (64712032), we get a palindrome (294929492).

The spelling of 230217460 in words is "two hundred thirty million, two hundred seventeen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 25523 51046 102092 127615 255230 280753 510460 561506 1046443 1123012 1403765 2092886 2807530 4185772 5232215 5615060 10464430 11510873 20928860 23021746 46043492 57554365 115108730 230217460