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230424120 = 2332517231637
BaseRepresentation
bin11011011101111…
…11111000111000
3121001120202110200
431232333320320
5432442032440
634510442200
75465400303
oct1556777070
9531522420
10230424120
11109083063
1265203360
133897a344
1422861b3a
1515368c30
hexdbbfe38

230424120 has 192 divisors, whose sum is σ = 827910720. Its totient is φ = 55283712.

The previous prime is 230424113. The next prime is 230424133. The reversal of 230424120 is 21424032.

230424120 is a `hidden beast` number, since 230 + 424 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230424093 and 230424102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139942 + ... + 141578.

It is an arithmetic number, because the mean of its divisors is an integer number (4312035).

Almost surely, 2230424120 is an apocalyptic number.

230424120 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 230424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413955360).

230424120 is an abundant number, since it is smaller than the sum of its proper divisors (597486600).

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

230424120 is a wasteful number, since it uses less digits than its factorization.

230424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230424120 is about 15179.7272702773. The cubic root of 230424120 is about 613.0689379734.

Adding to 230424120 its reverse (21424032), we get a palindrome (251848152).

The spelling of 230424120 in words is "two hundred thirty million, four hundred twenty-four thousand, one hundred twenty".