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230504000 = 265328813
BaseRepresentation
bin11011011110100…
…11011001000000
3121001201211001012
431233103121000
5433002112000
634512300052
75466152216
oct1557233100
9531654035
10230504000
11109128081
1265241628
13389a77cc
1422882cb6
1515382735
hexdbd3640

230504000 has 56 divisors (see below), whose sum is σ = 570862968. Its totient is φ = 92198400.

The previous prime is 230503981. The next prime is 230504011. The reversal of 230504000 is 405032.

230504000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34951744 + 195552256 = 5912^2 + 13984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6407 + ... + 22406.

Almost surely, 2230504000 is an apocalyptic number.

230504000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230504000 is an abundant number, since it is smaller than the sum of its proper divisors (340358968).

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

230504000 is an equidigital number, since it uses as much as digits as its factorization.

230504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28840 (or 28820 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 230504000 is about 15182.3581831019. The cubic root of 230504000 is about 613.1397729897.

Adding to 230504000 its reverse (405032), we get a palindrome (230909032).

The spelling of 230504000 in words is "two hundred thirty million, five hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 28813 57626 115252 144065 230504 288130 461008 576260 720325 922016 1152520 1440650 1844032 2305040 2881300 3601625 4610080 5762600 7203250 9220160 11525200 14406500 23050400 28813000 46100800 57626000 115252000 230504000