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230400500 = 225311163257
BaseRepresentation
bin11011011101110…
…10000111110100
3121001112120001212
431232322013310
5432440304000
634510140552
75465241401
oct1556720764
9531476055
10230400500
11109067340
12651b1758
133896c675
14228572a8
1515361c35
hexdbba1f4

230400500 has 96 divisors (see below), whose sum is σ = 554456448. Its totient is φ = 82944000.

The previous prime is 230400491. The next prime is 230400509. The reversal of 230400500 is 5004032.

It is an interprime number because it is at equal distance from previous prime (230400491) and next prime (230400509).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230400509) 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 31 ways as a sum of consecutive naturals, for example, 896372 + ... + 896628.

It is an arithmetic number, because the mean of its divisors is an integer number (5775588).

Almost surely, 2230400500 is an apocalyptic number.

230400500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277228224).

230400500 is an abundant number, since it is smaller than the sum of its proper divisors (324055948).

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

230400500 is a wasteful number, since it uses less digits than its factorization.

230400500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 230400500 is about 15178.9492389954. The cubic root of 230400500 is about 613.0479893806.

Adding to 230400500 its reverse (5004032), we get a palindrome (235404532).

The spelling of 230400500 in words is "two hundred thirty million, four hundred thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 163 220 250 257 275 326 500 514 550 652 815 1028 1100 1285 1375 1630 1793 2570 2750 2827 3260 3586 4075 5140 5500 5654 6425 7172 8150 8965 11308 12850 14135 16300 17930 20375 25700 28270 32125 35860 40750 41891 44825 56540 64250 70675 81500 83782 89650 128500 141350 167564 179300 209455 224125 282700 353375 418910 448250 460801 706750 837820 896500 921602 1047275 1413500 1843204 2094550 2304005 4189100 4608010 5236375 9216020 10472750 11520025 20945500 23040050 46080100 57600125 115200250 230400500