Search a number
-
+
224041230 = 232572101503
BaseRepresentation
bin11010101101010…
…01100100001110
3120121120110210100
431112221210032
5424323304410
634121551530
75360214300
oct1526514416
9517513710
10224041230
11105513546
12630455a6
1337553c9a
1421a7d970
1514a078c0
hexd5a990e

224041230 has 144 divisors (see below), whose sum is σ = 685679904. Its totient is φ = 50601600.

The previous prime is 224041193. The next prime is 224041241. The reversal of 224041230 is 32140422.

224041230 is a `hidden beast` number, since 224 + 0 + 412 + 30 = 666.

224041230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 445159 + ... + 445661.

It is an arithmetic number, because the mean of its divisors is an integer number (4761666).

Almost surely, 2224041230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224041230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342839952).

224041230 is an abundant number, since it is smaller than the sum of its proper divisors (461638674).

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

224041230 is a wasteful number, since it uses less digits than its factorization.

224041230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224041230 is about 14968.0068813453. The cubic root of 224041230 is about 607.3550535664.

Adding to 224041230 its reverse (32140422), we get a palindrome (256181652).

The spelling of 224041230 in words is "two hundred twenty-four million, forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 101 105 126 147 202 210 245 294 303 315 441 490 503 505 606 630 707 735 882 909 1006 1010 1414 1470 1509 1515 1818 2121 2205 2515 3018 3030 3521 3535 4242 4410 4527 4545 4949 5030 6363 7042 7070 7545 9054 9090 9898 10563 10605 12726 14847 15090 17605 21126 21210 22635 24647 24745 29694 31689 31815 35210 44541 45270 49294 49490 50803 52815 63378 63630 73941 74235 89082 101606 105630 123235 147882 148470 152409 158445 221823 222705 246470 254015 304818 316890 355621 369705 443646 445410 457227 508030 711242 739410 762045 914454 1066863 1109115 1524090 1778105 2133726 2218230 2286135 2489347 3200589 3556210 4572270 4978694 5334315 6401178 7468041 10668630 12446735 14936082 16002945 22404123 24893470 32005890 37340205 44808246 74680410 112020615 224041230