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230320312000 = 265328790039
BaseRepresentation
bin1101011010000000101…
…0010000111011000000
3211000111102022010022221
43112200022100323000
512233143444441000
6253450243340424
722432360231042
oct3264012207300
9730442263287
10230320312000
11897508a2399
1238779981714
1318946b744ac
14b20cca9a92
155ed027061a
hex35a0290ec0

230320312000 has 56 divisors (see below), whose sum is σ = 570388272480. Its totient is φ = 92128121600.

The previous prime is 230320311983. The next prime is 230320312009. The reversal of 230320312000 is 213023032.

230320312000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2303203120003 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (230320312009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14387020 + ... + 14403019.

Almost surely, 2230320312000 is an apocalyptic number.

230320312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230320312000 is an abundant number, since it is smaller than the sum of its proper divisors (340067960480).

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

230320312000 is an equidigital number, since it uses as much as digits as its factorization.

230320312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28790066 (or 28790046 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 230320312000 its reverse (213023032), we get a palindrome (230533335032).

The spelling of 230320312000 in words is "two hundred thirty billion, three hundred twenty million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 28790039 57580078 115160156 143950195 230320312 287900390 460640624 575800780 719750975 921281248 1151601560 1439501950 1842562496 2303203120 2879003900 3598754875 4606406240 5758007800 7197509750 9212812480 11516015600 14395019500 23032031200 28790039000 46064062400 57580078000 115160156000 230320312000