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230130320 = 24571313137
BaseRepresentation
bin11011011011110…
…00001010010000
3121001000211110012
431231320022100
5432403132240
634500254052
75463034610
oct1555701220
9531024405
10230130320
111089a2352
12650a1328
13388a66b4
14227c6a40
151530bb65
hexdb78290

230130320 has 80 divisors (see below), whose sum is σ = 616353408. Its totient is φ = 78274560.

The previous prime is 230130287. The next prime is 230130323. The reversal of 230130320 is 23031032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 230130295 and 230130304.

It is not an unprimeable number, because it can be changed into a prime (230130323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 71792 + ... + 74928.

Almost surely, 2230130320 is an apocalyptic number.

230130320 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 230130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308176704).

230130320 is an abundant number, since it is smaller than the sum of its proper divisors (386223088).

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

230130320 is a wasteful number, since it uses less digits than its factorization.

230130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 230130320 is about 15170.0468028283. The cubic root of 230130320 is about 612.8082646528.

Adding to 230130320 its reverse (23031032), we get a palindrome (253161352).

The spelling of 230130320 in words is "two hundred thirty million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 262 280 524 560 655 917 1048 1310 1834 2096 2620 3137 3668 4585 5240 6274 7336 9170 10480 12548 14672 15685 18340 21959 25096 31370 36680 43918 50192 62740 73360 87836 109795 125480 175672 219590 250960 351344 410947 439180 821894 878360 1643788 1756720 2054735 2876629 3287576 4109470 5753258 6575152 8218940 11506516 14383145 16437880 23013032 28766290 32875760 46026064 57532580 115065160 230130320