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230344410024 = 233212725190771
BaseRepresentation
bin1101011010000110011…
…0001100001110101000
3211000120002122102121100
43112201212030032220
512233221132110044
6253452504041400
722433102115501
oct3264146141650
9730502572540
10230344410024
1189763461613
1238785a63260
131894bb60c91
14b21217dba8
155ed2430869
hex35a198c3a8

230344410024 has 48 divisors (see below), whose sum is σ = 628761669120. Its totient is φ = 76176888480.

The previous prime is 230344410017. The next prime is 230344410029. The reversal of 230344410024 is 420014443032.

It is a happy number.

It is a super-5 number, since 5×2303444100245 (a number of 58 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230344410024.

It is not an unprimeable number, because it can be changed into a prime (230344410029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12586242 + ... + 12604529.

It is an arithmetic number, because the mean of its divisors is an integer number (13099201440).

Almost surely, 2230344410024 is an apocalyptic number.

230344410024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230344410024 is an abundant number, since it is smaller than the sum of its proper divisors (398417259096).

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

230344410024 is a wasteful number, since it uses less digits than its factorization.

230344410024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25190910 (or 25190903 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 230344410024 its reverse (420014443032), we get a palindrome (650358853056).

The spelling of 230344410024 in words is "two hundred thirty billion, three hundred forty-four million, four hundred ten thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 25190771 50381542 75572313 100763084 151144626 201526168 226716939 302289252 453433878 604578504 906867756 1813735512 3199227917 6398455834 9597683751 12796911668 19195367502 25593823336 28793051253 38390735004 57586102506 76781470008 115172205012 230344410024