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230882048 = 283147619
BaseRepresentation
bin11011100001011…
…11101100000000
3121002110000121222
431300233230000
5433101211143
634524334212
75502315335
oct1560575400
9532400558
10230882048
11109366111
12653a4368
1338aaa8c7
142294098c
1515409768
hexdc2fb00

230882048 has 72 divisors (see below), whose sum is σ = 486635520. Its totient is φ = 109163520.

The previous prime is 230882039. The next prime is 230882059. The reversal of 230882048 is 840288032.

230882048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230881999 and 230882017.

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 7 ways as a sum of consecutive naturals, for example, 372683 + ... + 373301.

Almost surely, 2230882048 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 230882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243317760).

230882048 is an abundant number, since it is smaller than the sum of its proper divisors (255753472).

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

230882048 is an equidigital number, since it uses as much as digits as its factorization.

230882048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 230882048 is about 15194.8033221888. The cubic root of 230882048 is about 613.4747919883.

The spelling of 230882048 in words is "two hundred thirty million, eight hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 31 32 47 62 64 94 124 128 188 248 256 376 496 619 752 992 1238 1457 1504 1984 2476 2914 3008 3968 4952 5828 6016 7936 9904 11656 12032 19189 19808 23312 29093 38378 39616 46624 58186 76756 79232 93248 116372 153512 158464 186496 232744 307024 372992 465488 614048 901883 930976 1228096 1803766 1861952 2456192 3607532 3723904 4912384 7215064 7447808 14430128 28860256 57720512 115441024 230882048