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224868424 = 231123241461
BaseRepresentation
bin11010110011100…
…11100001001000
3120200010111111011
431121303201020
5430031242144
634151413304
75400231034
oct1531634110
9520114434
10224868424
11105a28a80
1263384234
1337783651
1421c171c4
1514b1ca34
hexd673848

224868424 has 64 divisors (see below), whose sum is σ = 482993280. Its totient is φ = 97152000.

The previous prime is 224868421. The next prime is 224868433. The reversal of 224868424 is 424868422.

It is a super-2 number, since 2×2248684242 = 101131616224487552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224868421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 487554 + ... + 488014.

It is an arithmetic number, because the mean of its divisors is an integer number (7546770).

Almost surely, 2224868424 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 224868424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241496640).

224868424 is an abundant number, since it is smaller than the sum of its proper divisors (258124856).

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

224868424 is a wasteful number, since it uses less digits than its factorization.

224868424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 738 counting only the distinct ones).

The product of its digits is 196608, while the sum is 40.

The square root of 224868424 is about 14995.6134919516. The cubic root of 224868424 is about 608.1016176528.

The spelling of 224868424 in words is "two hundred twenty-four million, eight hundred sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 241 253 461 482 506 922 964 1012 1844 1928 2024 2651 3688 5071 5302 5543 10142 10603 10604 11086 20284 21206 21208 22172 40568 42412 44344 60973 84824 111101 116633 121946 222202 233266 243892 444404 466532 487784 888808 933064 1222111 2444222 2555323 4888444 5110646 9776888 10221292 20442584 28108553 56217106 112434212 224868424