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230644560 = 24352394021
BaseRepresentation
bin11011011111101…
…01101101010000
3121001222221212010
431233311231100
5433021111220
634515302520
75500306056
oct1557655520
9531887763
10230644560
11109213743
12652aaa40
1338a26793
14228bc1d6
15153ae1e0
hexdbf5b50

230644560 has 80 divisors (see below), whose sum is σ = 718168320. Its totient is φ = 61232640.

The previous prime is 230644549. The next prime is 230644567. The reversal of 230644560 is 65446032.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230644567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55350 + ... + 59370.

It is an arithmetic number, because the mean of its divisors is an integer number (8977104).

Almost surely, 2230644560 is an apocalyptic number.

230644560 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 230644560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359084160).

230644560 is an abundant number, since it is smaller than the sum of its proper divisors (487523760).

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

230644560 is a wasteful number, since it uses less digits than its factorization.

230644560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 230644560 is about 15186.9865345301. The cubic root of 230644560 is about 613.2643773559.

The spelling of 230644560 in words is "two hundred thirty million, six hundred forty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 239 240 478 717 956 1195 1434 1912 2390 2868 3585 3824 4021 4780 5736 7170 8042 9560 11472 12063 14340 16084 19120 20105 24126 28680 32168 40210 48252 57360 60315 64336 80420 96504 120630 160840 193008 241260 321680 482520 961019 965040 1922038 2883057 3844076 4805095 5766114 7688152 9610190 11532228 14415285 15376304 19220380 23064456 28830570 38440760 46128912 57661140 76881520 115322280 230644560