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230641024 = 2715111933
BaseRepresentation
bin11011011111101…
…00110110000000
3121001222210000011
431233310312000
5433021003044
634515234304
75500262545
oct1557646600
9531883004
10230641024
11109211019
12652a8994
1338a24ca3
14228babcc
15153ad134
hexdbf4d80

230641024 has 32 divisors (see below), whose sum is σ = 462561840. Its totient is φ = 114547200.

The previous prime is 230641013. The next prime is 230641027. The reversal of 230641024 is 420146032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 230640986 and 230641004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230641027) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13362 + ... + 25294.

Almost surely, 2230641024 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 230641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231280920).

230641024 is an abundant number, since it is smaller than the sum of its proper divisors (231920816).

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

230641024 is a wasteful number, since it uses less digits than its factorization.

230641024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12098 (or 12086 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 230641024 is about 15186.8701186255. The cubic root of 230641024 is about 613.2612433649.

Adding to 230641024 its reverse (420146032), we get a palindrome (650787056).

The spelling of 230641024 in words is "two hundred thirty million, six hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 151 302 604 1208 2416 4832 9664 11933 19328 23866 47732 95464 190928 381856 763712 1527424 1801883 3603766 7207532 14415064 28830128 57660256 115320512 230641024