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230418720 = 25325722859
BaseRepresentation
bin11011011101111…
…10100100100000
3121001120111001200
431232332210200
5432441344340
634510401200
75465345460
oct1556764440
9531514050
10230418720
11109079aa4
1265200200
1338977a4c
142285dba0
1515367330
hexdbbe920

230418720 has 144 divisors (see below), whose sum is σ = 898672320. Its totient is φ = 52664832.

The previous prime is 230418679. The next prime is 230418737. The reversal of 230418720 is 27814032.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1350 + ... + 21509.

It is an arithmetic number, because the mean of its divisors is an integer number (6240780).

Almost surely, 2230418720 is an apocalyptic number.

230418720 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 230418720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449336160).

230418720 is an abundant number, since it is smaller than the sum of its proper divisors (668253600).

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

230418720 is a wasteful number, since it uses less digits than its factorization.

230418720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22887 (or 22876 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 230418720 is about 15179.5494004269. The cubic root of 230418720 is about 613.0641488362.

The spelling of 230418720 in words is "two hundred thirty million, four hundred eighteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 22859 45718 68577 91436 114295 137154 160013 182872 205731 228590 274308 320026 342885 365744 411462 457180 480039 548616 640052 685770 731488 800065 822924 914360 960078 1028655 1097232 1280104 1371540 1440117 1600130 1645848 1828720 1920156 2057310 2194464 2400195 2560208 2743080 2880234 3200260 3291696 3657440 3840312 4114620 4800390 5120416 5486160 5760468 6400520 6583392 7200585 7680624 8229240 9600780 10972320 11520936 12801040 14401170 15361248 16458480 19201560 23041872 25602080 28802340 32916960 38403120 46083744 57604680 76806240 115209360 230418720