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230144320 = 2657127809
BaseRepresentation
bin11011011011110…
…11100101000000
3121001001112122201
431231323211000
5432404104240
634500442544
75463123460
oct1555734500
9531045581
10230144320
11108a0191a
12650a9454
13388acb93
14227cbba0
1515310d9a
hexdb7b940

230144320 has 112 divisors (see below), whose sum is σ = 632033280. Its totient is φ = 78188544.

The previous prime is 230144297. The next prime is 230144347. The reversal of 230144320 is 23441032.

It is a tau number, because it is divible by the number of its divisors (112).

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, 284076 + ... + 284884.

Almost surely, 2230144320 is an apocalyptic number.

230144320 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 230144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316016640).

230144320 is an abundant number, since it is smaller than the sum of its proper divisors (401888960).

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

230144320 is a wasteful number, since it uses less digits than its factorization.

230144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 230144320 is about 15170.5082314338. The cubic root of 230144320 is about 612.8206911506.

Adding to 230144320 its reverse (23441032), we get a palindrome (253585352).

The spelling of 230144320 in words is "two hundred thirty million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 127 140 160 224 254 280 320 448 508 560 635 809 889 1016 1120 1270 1618 1778 2032 2240 2540 3236 3556 4045 4064 4445 5080 5663 6472 7112 8090 8128 8890 10160 11326 12944 14224 16180 17780 20320 22652 25888 28315 28448 32360 35560 40640 45304 51776 56630 56896 64720 71120 90608 102743 113260 129440 142240 181216 205486 226520 258880 284480 362432 410972 453040 513715 719201 821944 906080 1027430 1438402 1643888 1812160 2054860 2876804 3287776 3596005 4109720 5753608 6575552 7192010 8219440 11507216 14384020 16438880 23014432 28768040 32877760 46028864 57536080 115072160 230144320