Search a number
-
+
233300000000 = 28582333
BaseRepresentation
bin1101100101000111000…
…0110111110100000000
3211022012002002221211202
43121101300313310000
512310244300000000
6255102044400332
722566251165054
oct3312160676400
9738162087752
10233300000000
118aa3a84a061
123926b8460a8
13190002965a2
14b412905c64
156106b50dd5
hex3651c37d00

233300000000 has 162 divisors, whose sum is σ = 582360053394. Its totient is φ = 93280000000.

The previous prime is 233299999997. The next prime is 233300000027. The reversal of 233300000000 is 3332.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 59684444416 + 173615555584 = 244304^2 + 416672^2 .

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 99998834 + ... + 100001166.

Almost surely, 2233300000000 is an apocalyptic number.

233300000000 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 233300000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291180026697).

233300000000 is an abundant number, since it is smaller than the sum of its proper divisors (349060053394).

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

233300000000 is an frugal number, since it uses more digits than its factorization.

233300000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 11.

Adding to 233300000000 its reverse (3332), we get a palindrome (233300003332).

The spelling of 233300000000 in words is "two hundred thirty-three billion, three hundred million", and thus it is an aban number.