Search a number
-
+
224119808 = 21011101197
BaseRepresentation
bin11010101101111…
…00110000000000
3120121201110120122
431112330300000
5424333313213
634123355412
75360662343
oct1526746000
9517643518
10224119808
11105567590
1263082b68
1337580993
1421aa045a
1514a20d08
hexd5bcc00

224119808 has 88 divisors (see below), whose sum is σ = 496094544. Its totient is φ = 100352000.

The previous prime is 224119799. The next prime is 224119849. The reversal of 224119808 is 808911422.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1137566 + ... + 1137762.

It is an arithmetic number, because the mean of its divisors is an integer number (5637438).

Almost surely, 2224119808 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 224119808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248047272).

224119808 is an abundant number, since it is smaller than the sum of its proper divisors (271974736).

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

224119808 is a wasteful number, since it uses less digits than its factorization.

224119808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 224119808 is about 14970.6315164057. The cubic root of 224119808 is about 607.4260511636.

The spelling of 224119808 in words is "two hundred twenty-four million, one hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 197 202 256 352 394 404 512 704 788 808 1024 1111 1408 1576 1616 2167 2222 2816 3152 3232 4334 4444 5632 6304 6464 8668 8888 11264 12608 12928 17336 17776 19897 25216 25856 34672 35552 39794 50432 51712 69344 71104 79588 100864 103424 138688 142208 159176 201728 218867 277376 284416 318352 437734 554752 568832 636704 875468 1109504 1137664 1273408 1750936 2219008 2546816 3501872 5093632 7003744 10187264 14007488 20374528 28014976 56029952 112059904 224119808