Search a number
-
+
224534660 = 2257371461
BaseRepresentation
bin11010110001000…
…10000010000100
3120122111112122112
431120202002010
5424440102120
634140320152
75364341000
oct1530420204
9518445575
10224534660
11105820239
1263243058
133769775c
1421b6b700
1514aa3bc5
hexd622084

224534660 has 96 divisors (see below), whose sum is σ = 558835200. Its totient is φ = 75734400.

The previous prime is 224534599. The next prime is 224534683. The reversal of 224534660 is 66435422.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486830 + ... + 487290.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 2224534660 is an apocalyptic number.

224534660 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 224534660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

224534660 is an abundant number, since it is smaller than the sum of its proper divisors (334300540).

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

224534660 is a wasteful number, since it uses less digits than its factorization.

224534660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 224534660 is about 14984.4806383138. The cubic root of 224534660 is about 607.8006076605.

The spelling of 224534660 in words is "two hundred twenty-four million, five hundred thirty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 71 98 140 142 196 245 284 343 355 461 490 497 686 710 922 980 994 1372 1420 1715 1844 1988 2305 2485 3227 3430 3479 4610 4970 6454 6860 6958 9220 9940 12908 13916 16135 17395 22589 24353 32270 32731 34790 45178 48706 64540 65462 69580 90356 97412 112945 121765 130924 158123 163655 225890 229117 243530 316246 327310 451780 458234 487060 632492 654620 790615 916468 1145585 1581230 1603819 2291170 3162460 3207638 4582340 6415276 8019095 11226733 16038190 22453466 32076380 44906932 56133665 112267330 224534660