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230474832 = 243722931109
BaseRepresentation
bin11011011110011…
…00010001010000
3121001200100000220
431233030101100
5433000143312
634511513040
75466001200
oct1557142120
9531610026
10230474832
11109108175
1265228780
1338997453
1422876400
1515378c8c
hexdbcc450

230474832 has 240 divisors, whose sum is σ = 746380800. Its totient is φ = 60963840.

The previous prime is 230474821. The next prime is 230474857. The reversal of 230474832 is 238474032.

It is a junction number, because it is equal to n+sod(n) for n = 230474793 and 230474802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2114394 + ... + 2114502.

It is an arithmetic number, because the mean of its divisors is an integer number (3109920).

Almost surely, 2230474832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230474832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373190400).

230474832 is an abundant number, since it is smaller than the sum of its proper divisors (515905968).

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

230474832 is a wasteful number, since it uses less digits than its factorization.

230474832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 230474832 is about 15181.3975641243. The cubic root of 230474832 is about 613.1139096420.

The spelling of 230474832 in words is "two hundred thirty million, four hundred seventy-four thousand, eight hundred thirty-two".