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224431424 = 267232947
BaseRepresentation
bin11010110000010…
…00110101000000
3120122022022000222
431120020311000
5424423301144
634134202212
75363431010
oct1530106500
9518268028
10224431424
1110575a718
12631b3368
133765c779
1421b41c40
1514a832ee
hexd608d40

224431424 has 84 divisors (see below), whose sum is σ = 532631904. Its totient is φ = 91905792.

The previous prime is 224431421. The next prime is 224431463. The reversal of 224431424 is 424134422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 224431393 and 224431402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224431421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236519 + ... + 237465.

It is an arithmetic number, because the mean of its divisors is an integer number (6340856).

Almost surely, 2224431424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266315952).

224431424 is an abundant number, since it is smaller than the sum of its proper divisors (308200480).

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

224431424 is an equidigital number, since it uses as much as digits as its factorization.

224431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 979 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 224431424 is about 14981.0354782305. The cubic root of 224431424 is about 607.7074423521.

Adding to 224431424 its reverse (424134422), we get a palindrome (648565846).

The spelling of 224431424 in words is "two hundred twenty-four million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 529 644 736 947 1058 1288 1472 1894 2116 2576 3703 3788 4232 5152 6629 7406 7576 8464 10304 13258 14812 15152 16928 21781 26516 29624 30304 33856 43562 53032 59248 60608 87124 106064 118496 152467 174248 212128 236992 304934 348496 424256 500963 609868 696992 1001926 1219736 1393984 2003852 2439472 3506741 4007704 4878944 7013482 8015408 9757888 14026964 16030816 28053928 32061632 56107856 112215712 224431424