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230442660 = 223257374943
BaseRepresentation
bin11011011110001…
…00011010100100
3121001121200220100
431233010122210
5432443131120
634511104100
75465505330
oct1557043244
9531550810
10230442660
11109095a88
1265212030
1338985906
14228687c0
151536e490
hexdbc46a4

230442660 has 144 divisors (see below), whose sum is σ = 820624896. Its totient is φ = 51238656.

The previous prime is 230442649. The next prime is 230442661. The reversal of 230442660 is 66244032.

230442660 is a `hidden beast` number, since 230 + 4 + 426 + 6 + 0 = 666.

230442660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230442661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44149 + ... + 49091.

It is an arithmetic number, because the mean of its divisors is an integer number (5698784).

Almost surely, 2230442660 is an apocalyptic number.

230442660 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 230442660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410312448).

230442660 is an abundant number, since it is smaller than the sum of its proper divisors (590182236).

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

230442660 is a wasteful number, since it uses less digits than its factorization.

230442660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 230442660 is about 15180.3379409024. The cubic root of 230442660 is about 613.0853801081.

Adding to 230442660 its reverse (66244032), we get a palindrome (296686692).

The spelling of 230442660 in words is "two hundred thirty million, four hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3330 3885 4662 4943 5180 6660 7770 9324 9886 11655 14829 15540 19772 23310 24715 29658 34601 44487 46620 49430 59316 69202 74145 88974 98860 103803 138404 148290 173005 177948 182891 207606 222435 296580 311409 346010 365782 415212 444870 519015 548673 622818 692020 731564 889740 914455 1038030 1097346 1245636 1280237 1557045 1646019 1828910 2076060 2194692 2560474 2743365 3114090 3292038 3657820 3840711 5120948 5486730 6228180 6401185 6584076 7681422 8230095 10973460 11522133 12802370 15362844 16460190 19203555 23044266 25604740 32920380 38407110 46088532 57610665 76814220 115221330 230442660