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230128000 = 275319757
BaseRepresentation
bin11011011011101…
…11100110000000
3121001000201021021
431231313212000
5432403044000
634500235224
75463025054
oct1555674600
9531021237
10230128000
111089a0633
126509bb14
13388a561b
14227c5c64
151530b11a
hexdb77980

230128000 has 128 divisors (see below), whose sum is σ = 603064800. Its totient is φ = 87091200.

The previous prime is 230127991. The next prime is 230128037. The reversal of 230128000 is 821032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

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, 303622 + ... + 304378.

Almost surely, 2230128000 is an apocalyptic number.

230128000 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 230128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301532400).

230128000 is an abundant number, since it is smaller than the sum of its proper divisors (372936800).

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

230128000 is an equidigital number, since it uses as much as digits as its factorization.

230128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 230128000 is about 15169.9703361608. The cubic root of 230128000 is about 612.8062053559.

Adding to 230128000 its reverse (821032), we get a palindrome (230949032).

The spelling of 230128000 in words is "two hundred thirty million, one hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 250 304 320 380 400 475 500 608 640 757 760 800 950 1000 1216 1514 1520 1600 1900 2000 2375 2432 3028 3040 3200 3785 3800 4000 4750 6056 6080 7570 7600 8000 9500 12112 12160 14383 15140 15200 16000 18925 19000 24224 28766 30280 30400 37850 38000 48448 57532 60560 60800 71915 75700 76000 94625 96896 115064 121120 143830 151400 152000 189250 230128 242240 287660 302800 304000 359575 378500 460256 484480 575320 605600 719150 757000 920512 1150640 1211200 1438300 1514000 1797875 1841024 2301280 2422400 2876600 3028000 3595750 4602560 5753200 6056000 7191500 9205120 11506400 12112000 14383000 23012800 28766000 46025600 57532000 115064000 230128000