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230230432000 = 28537194701
BaseRepresentation
bin1101011001101011001…
…1011001100100000000
3211000021011011202011001
43112122303121210000
512233002442311000
6253433313101344
722430216245162
oct3263263314400
9730234152131
10230230432000
11897050931a8
1238753857854
131893136506a
14b200d90932
155ec741946a
hex359acd9900

230230432000 has 72 divisors (see below), whose sum is σ = 573532864632. Its totient is φ = 92092160000.

The previous prime is 230230431989. The next prime is 230230432027. The reversal of 230230432000 is 234032032.

It can be written as a sum of positive squares in 4 ways, for example, as 51416469504 + 178813962496 = 226752^2 + 422864^2 .

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, 3565351 + ... + 3629350.

It is an arithmetic number, because the mean of its divisors is an integer number (7965734231).

Almost surely, 2230230432000 is an apocalyptic number.

230230432000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230230432000 is an abundant number, since it is smaller than the sum of its proper divisors (343302432632).

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

230230432000 is an frugal number, since it uses more digits than its factorization.

230230432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7194732 (or 7194708 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 230230432000 its reverse (234032032), we get a palindrome (230464464032).

The spelling of 230230432000 in words is "two hundred thirty billion, two hundred thirty million, four hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 7194701 14389402 28778804 35973505 57557608 71947010 115115216 143894020 179867525 230230432 287788040 359735050 460460864 575576080 719470100 899337625 920921728 1151152160 1438940200 1798675250 1841843456 2302304320 2877880400 3597350500 4604608640 5755760800 7194701000 9209217280 11511521600 14389402000 23023043200 28778804000 46046086400 57557608000 115115216000 230230432000