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230324000 = 255371811
BaseRepresentation
bin11011011101001…
…11011100100000
3121001101200010112
431232213130200
5432430332000
634504350452
75464502354
oct1556473440
9531350115
10230324000
11109014915
1265175428
13389438ba
1422837464
1515349235
hexdba7720

230324000 has 96 divisors (see below), whose sum is σ = 574584192. Its totient is φ = 90720000.

The previous prime is 230323999. The next prime is 230324021. The reversal of 230324000 is 423032.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283595 + ... + 284405.

It is an arithmetic number, because the mean of its divisors is an integer number (5985252).

Almost surely, 2230324000 is an apocalyptic number.

230324000 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 230324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287292096).

230324000 is an abundant number, since it is smaller than the sum of its proper divisors (344260192).

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

230324000 is an equidigital number, since it uses as much as digits as its factorization.

230324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 230324000 is about 15176.4290925105. The cubic root of 230324000 is about 612.9801316536.

Adding to 230324000 its reverse (423032), we get a palindrome (230747032).

The spelling of 230324000 in words is "two hundred thirty million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 125 142 160 200 250 284 355 400 500 568 710 800 811 1000 1136 1420 1622 1775 2000 2272 2840 3244 3550 4000 4055 5680 6488 7100 8110 8875 11360 12976 14200 16220 17750 20275 25952 28400 32440 35500 40550 56800 57581 64880 71000 81100 101375 115162 129760 142000 162200 202750 230324 284000 287905 324400 405500 460648 575810 648800 811000 921296 1151620 1439525 1622000 1842592 2303240 2879050 3244000 4606480 5758100 7197625 9212960 11516200 14395250 23032400 28790500 46064800 57581000 115162000 230324000