Search a number
-
+
230512320 = 2632580039
BaseRepresentation
bin11011011110101…
…01011011000000
3121001202020110100
431233111123000
5433002343240
634512402400
75466215403
oct1557253300
9531666410
10230512320
11109133355
1265246400
13389ab52c
1422885d3a
1515384e30
hexdbd56c0

230512320 has 84 divisors (see below), whose sum is σ = 792876240. Its totient is φ = 61469184.

The previous prime is 230512309. The next prime is 230512339. The reversal of 230512320 is 23215032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230512293 and 230512302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37140 + ... + 42899.

Almost surely, 2230512320 is an apocalyptic number.

230512320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230512320 is an abundant number, since it is smaller than the sum of its proper divisors (562363920).

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

230512320 is a wasteful number, since it uses less digits than its factorization.

230512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80062 (or 80049 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 230512320 is about 15182.6321828595. The cubic root of 230512320 is about 613.1471499571.

Adding to 230512320 its reverse (23215032), we get a palindrome (253727352).

The spelling of 230512320 in words is "two hundred thirty million, five hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 80039 160078 240117 320156 400195 480234 640312 720351 800390 960468 1200585 1280624 1440702 1600780 1920936 2401170 2561248 2881404 3201560 3601755 3841872 4802340 5122496 5762808 6403120 7203510 7683744 9604680 11525616 12806240 14407020 15367488 19209360 23051232 25612480 28814040 38418720 46102464 57628080 76837440 115256160 230512320