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224014928 = 2431795717
BaseRepresentation
bin11010101101000…
…11001001010000
3120121112010201012
431112203021100
5424321434203
634121230052
75360044514
oct1526431120
9517463635
10224014928
111054a5805
1263032328
1337545017
1421a74144
15149eebd8
hexd5a3250

224014928 has 40 divisors (see below), whose sum is σ = 453780480. Its totient is φ = 107003520.

The previous prime is 224014927. The next prime is 224014943. The reversal of 224014928 is 829410422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 224014894 and 224014903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224014927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36326 + ... + 42042.

It is an arithmetic number, because the mean of its divisors is an integer number (11344512).

Almost surely, 2224014928 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 224014928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226890240).

224014928 is an abundant number, since it is smaller than the sum of its proper divisors (229765552).

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

224014928 is a wasteful number, since it uses less digits than its factorization.

224014928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 224014928 is about 14967.1282482646. The cubic root of 224014928 is about 607.3312852065.

The spelling of 224014928 in words is "two hundred twenty-four million, fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 31 62 79 124 158 248 316 496 632 1264 2449 4898 5717 9796 11434 19592 22868 39184 45736 91472 177227 354454 451643 708908 903286 1417816 1806572 2835632 3613144 7226288 14000933 28001866 56003732 112007464 224014928