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230404000 = 255357601
BaseRepresentation
bin11011011101110…
…10111110100000
3121001112201212111
431232322332200
5432440412000
634510205104
75465254531
oct1556727640
9531481774
10230404000
11109069a32
12651b3794
1338971138
1422858688
1515362cba
hexdbbafa0

230404000 has 48 divisors (see below), whose sum is σ = 566112456. Its totient is φ = 92160000.

The previous prime is 230403977. The next prime is 230404033. The reversal of 230404000 is 404032.

It can be written as a sum of positive squares in 4 ways, for example, as 154853136 + 75550864 = 12444^2 + 8692^2 .

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 7 ways as a sum of consecutive naturals, for example, 24801 + ... + 32800.

Almost surely, 2230404000 is an apocalyptic number.

230404000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230404000 is an abundant number, since it is smaller than the sum of its proper divisors (335708456).

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

230404000 is an equidigital number, since it uses as much as digits as its factorization.

230404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57626 (or 57608 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 230404000 is about 15179.0645298055. The cubic root of 230404000 is about 613.0510936232.

Adding to 230404000 its reverse (404032), we get a palindrome (230808032).

It can be divided in two parts, 23040 and 4000, that multiplied together give a square (92160000 = 96002).

The spelling of 230404000 in words is "two hundred thirty million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 57601 115202 230404 288005 460808 576010 921616 1152020 1440025 1843232 2304040 2880050 4608080 5760100 7200125 9216160 11520200 14400250 23040400 28800500 46080800 57601000 115202000 230404000