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230320200 = 233521134897
BaseRepresentation
bin11011011101001…
…10100001001000
3121001101110220210
431232212201020
5432430221300
634504321120
75464455315
oct1556464110
9531343823
10230320200
11109011a80
12651731a0
1338941c56
1422835d0c
1515348050
hexdba6848

230320200 has 96 divisors (see below), whose sum is σ = 778923360. Its totient is φ = 55833600.

The previous prime is 230320187. The next prime is 230320213. The reversal of 230320200 is 2023032.

It is an interprime number because it is at equal distance from previous prime (230320187) and next prime (230320213).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10849 + ... + 24048.

It is an arithmetic number, because the mean of its divisors is an integer number (8113785).

Almost surely, 2230320200 is an apocalyptic number.

230320200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230320200 is an abundant number, since it is smaller than the sum of its proper divisors (548603160).

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

230320200 is a wasteful number, since it uses less digits than its factorization.

230320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34927 (or 34918 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 230320200 is about 15176.3038978534. The cubic root of 230320200 is about 612.9767605513.

Adding to 230320200 its reverse (2023032), we get a palindrome (232343232).

The spelling of 230320200 in words is "two hundred thirty million, three hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 34897 69794 104691 139588 174485 209382 279176 348970 383867 418764 523455 697940 767734 837528 872425 1046910 1151601 1395880 1535468 1744850 1919335 2093820 2303202 2617275 3070936 3489700 3838670 4187640 4606404 5234550 5758005 6979400 7677340 9212808 9596675 10469100 11516010 15354680 19193350 20938200 23032020 28790025 38386700 46064040 57580050 76773400 115160100 230320200