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230334720 = 28357111941
BaseRepresentation
bin11011011101010…
…10000100000000
3121001102012211120
431232222010000
5432431202340
634504512240
75464545540
oct1556520400
9531365746
10230334720
11109021980
126517b680
1338948745
142283b320
151534c4d0
hexdbaa100

230334720 has 576 divisors, whose sum is σ = 988968960. Its totient is φ = 44236800.

The previous prime is 230334707. The next prime is 230334773. The reversal of 230334720 is 27433032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5617900 + ... + 5617940.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2230334720 is an apocalyptic number.

230334720 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 230334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494484480).

230334720 is an abundant number, since it is smaller than the sum of its proper divisors (758634240).

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

230334720 is a wasteful number, since it uses less digits than its factorization.

230334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 24.

The square root of 230334720 is about 15176.7822676614. The cubic root of 230334720 is about 612.9896415109.

Adding to 230334720 its reverse (27433032), we get a palindrome (257767752).

The spelling of 230334720 in words is "two hundred thirty million, three hundred thirty-four thousand, seven hundred twenty".