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230611300 = 225210921157
BaseRepresentation
bin11011011111011…
…01100101100100
3121001221021020021
431233231211210
5433014030200
634514444524
75500110103
oct1557554544
9531837207
10230611300
111091a0757
1265293744
1338a145ba
14228b003a
15153a441a
hexdbed964

230611300 has 36 divisors (see below), whose sum is σ = 505041460. Its totient is φ = 91393920.

The previous prime is 230611247. The next prime is 230611309. The reversal of 230611300 is 3116032.

230611300 is digitally balanced in base 3, 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 6 ways, for example, as 27206656 + 203404644 = 5216^2 + 14262^2 .

It is not an unprimeable number, because it can be changed into a prime (230611309) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 322 + ... + 21478.

Almost surely, 2230611300 is an apocalyptic number.

230611300 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 230611300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252520730).

230611300 is an abundant number, since it is smaller than the sum of its proper divisors (274430160).

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

230611300 is a wasteful number, since it uses less digits than its factorization.

230611300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21280 (or 21273 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 230611300 is about 15185.8914786061. The cubic root of 230611300 is about 613.2348974298.

Adding to 230611300 its reverse (3116032), we get a palindrome (233727332).

The spelling of 230611300 in words is "two hundred thirty million, six hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2725 5450 10900 21157 42314 84628 105785 211570 423140 528925 1057850 2115700 2306113 4612226 9224452 11530565 23061130 46122260 57652825 115305650 230611300