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230200320 = 2103572141
BaseRepresentation
bin11011011100010…
…01010000000000
3121001011101110210
431232021100000
5432412402240
634501554120
75463445650
oct1556112000
9531141423
10230200320
11108a3a9a9
1265115940
13388cc50c
1422804360
1515322780
hexdb89400

230200320 has 176 divisors, whose sum is σ = 841857408. Its totient is φ = 52592640.

The previous prime is 230200291. The next prime is 230200331. The reversal of 230200320 is 23002032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 230200296 and 230200305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106450 + ... + 108590.

Almost surely, 2230200320 is an apocalyptic number.

230200320 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 230200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420928704).

230200320 is an abundant number, since it is smaller than the sum of its proper divisors (611657088).

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

230200320 is a wasteful number, since it uses less digits than its factorization.

230200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 230200320 is about 15172.3538055240. The cubic root of 230200320 is about 612.8703921028.

Adding to 230200320 its reverse (23002032), we get a palindrome (253202352).

The spelling of 230200320 in words is "two hundred thirty million, two hundred thousand, three hundred twenty".