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230404200 = 2335213109271
BaseRepresentation
bin11011011101110…
…11000001101000
3121001112202010220
431232323001220
5432440413300
634510210040
75465255235
oct1556730150
9531482126
10230404200
1110906a0a4
12651b3920
1338971260
142285878c
1515362da0
hexdbbb068

230404200 has 192 divisors, whose sum is σ = 779116800. Its totient is φ = 55987200.

The previous prime is 230404171. The next prime is 230404219. The reversal of 230404200 is 2404032.

It is a happy number.

230404200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230404200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850065 + ... + 850335.

It is an arithmetic number, because the mean of its divisors is an integer number (4057900).

Almost surely, 2230404200 is an apocalyptic number.

230404200 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 230404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389558400).

230404200 is an abundant number, since it is smaller than the sum of its proper divisors (548712600).

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

230404200 is a wasteful number, since it uses less digits than its factorization.

230404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 230404200 is about 15179.0711178254. The cubic root of 230404200 is about 613.0512710075.

Adding to 230404200 its reverse (2404032), we get a palindrome (232808232).

The spelling of 230404200 in words is "two hundred thirty million, four hundred four thousand, two hundred".