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230542336 = 2101491511
BaseRepresentation
bin11011011110111…
…00110000000000
3121001210202122001
431233130300000
5433004323321
634513153344
75466402043
oct1557346000
9531722561
10230542336
11109153962
126525b854
13389bc0ab
1422892c5a
151538dc91
hexdbdcc00

230542336 has 44 divisors (see below), whose sum is σ = 464259600. Its totient is φ = 114421760.

The previous prime is 230542327. The next prime is 230542337. The reversal of 230542336 is 633245032.

230542336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230542337) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 151821 + ... + 153331.

Almost surely, 2230542336 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 230542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232129800).

230542336 is an abundant number, since it is smaller than the sum of its proper divisors (233717264).

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

230542336 is a wasteful number, since it uses less digits than its factorization.

230542336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 230542336 is about 15183.6206485805. The cubic root of 230542336 is about 613.1737623107.

Adding to 230542336 its reverse (633245032), we get a palindrome (863787368).

The spelling of 230542336 in words is "two hundred thirty million, five hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 512 596 1024 1192 1511 2384 3022 4768 6044 9536 12088 19072 24176 38144 48352 76288 96704 152576 193408 225139 386816 450278 773632 900556 1547264 1801112 3602224 7204448 14408896 28817792 57635584 115271168 230542336