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224480334 = 23132534177
BaseRepresentation
bin11010110000101…
…00110001001110
3120122101210010110
431120110301032
5424431332314
634135220450
75364023421
oct1530246116
9518353113
10224480334
11105793441
1263217726
1337678b00
1421b559b8
1514a92a59
hexd614c4e

224480334 has 48 divisors (see below), whose sum is σ = 495443952. Its totient is φ = 67751424.

The previous prime is 224480303. The next prime is 224480341. The reversal of 224480334 is 433084422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51654 + ... + 55830.

It is an arithmetic number, because the mean of its divisors is an integer number (10321749).

Almost surely, 2224480334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224480334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247721976).

224480334 is an abundant number, since it is smaller than the sum of its proper divisors (270963618).

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

224480334 is a wasteful number, since it uses less digits than its factorization.

224480334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 224480334 is about 14982.6677864791. The cubic root of 224480334 is about 607.7515847328.

The spelling of 224480334 in words is "two hundred twenty-four million, four hundred eighty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 169 318 338 507 689 1014 1378 2067 4134 4177 8354 8957 12531 17914 25062 26871 53742 54301 108602 162903 221381 325806 442762 664143 705913 1328286 1411826 2117739 2877953 4235478 5755906 8633859 17267718 37413389 74826778 112240167 224480334