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230335000 = 235476581
BaseRepresentation
bin11011011101010…
…10001000011000
3121001102020012221
431232222020120
5432431210000
634504513424
75464546420
oct1556521030
9531366187
10230335000
11109022105
126517b874
13389488cc
142283b480
151534c61a
hexdbaa218

230335000 has 80 divisors (see below), whose sum is σ = 616865040. Its totient is φ = 78960000.

The previous prime is 230334913. The next prime is 230335003. The reversal of 230335000 is 533032.

230335000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230335003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31710 + ... + 38290.

It is an arithmetic number, because the mean of its divisors is an integer number (7710813).

Almost surely, 2230335000 is an apocalyptic number.

230335000 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 230335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308432520).

230335000 is an abundant number, since it is smaller than the sum of its proper divisors (386530040).

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

230335000 is an equidigital number, since it uses as much as digits as its factorization.

230335000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6595 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 16.

The square root of 230335000 is about 15176.7914922753. The cubic root of 230335000 is about 612.9898898987.

Adding to 230335000 its reverse (533032), we get a palindrome (230868032).

The spelling of 230335000 in words is "two hundred thirty million, three hundred thirty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1250 1400 1750 2500 3500 4375 5000 6581 7000 8750 13162 17500 26324 32905 35000 46067 52648 65810 92134 131620 164525 184268 230335 263240 329050 368536 460670 658100 822625 921340 1151675 1316200 1645250 1842680 2303350 3290500 4113125 4606700 5758375 6581000 8226250 9213400 11516750 16452500 23033500 28791875 32905000 46067000 57583750 115167500 230335000