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10304020224 = 283216327437
BaseRepresentation
bin10011001100010101…
…01101111100000000
3222121002211110110200
421212022231330000
5132100312121344
64422242525200
7513225504201
oct114612557400
928532743420
1010304020224
1144083949a3
121bb6966800
13c829950b4
146da6a15a8
15404913069
hex2662adf00

10304020224 has 108 divisors (see below), whose sum is σ = 29892383976. Its totient is φ = 3413477376.

The previous prime is 10304020151. The next prime is 10304020271. The reversal of 10304020224 is 42202040301.

10304020224 is a `hidden beast` number, since 10 + 30 + 402 + 0 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10304020197 and 10304020206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361834 + ... + 389270.

Almost surely, 210304020224 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 10304020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14946191988).

10304020224 is an abundant number, since it is smaller than the sum of its proper divisors (19588363752).

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

10304020224 is a wasteful number, since it uses less digits than its factorization.

10304020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27622 (or 27605 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10304020224 its reverse (42202040301), we get a palindrome (52506060525).

The spelling of 10304020224 in words is "ten billion, three hundred four million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 163 192 256 288 326 384 489 576 652 768 978 1152 1304 1467 1956 2304 2608 2934 3912 5216 5868 7824 10432 11736 15648 20864 23472 27437 31296 41728 46944 54874 62592 82311 93888 109748 125184 164622 187776 219496 246933 329244 375552 438992 493866 658488 877984 987732 1316976 1755968 1975464 2633952 3511936 3950928 4472231 5267904 7023872 7901856 8944462 10535808 13416693 15803712 17888924 21071616 26833386 31607424 35777848 40250079 53666772 63214848 71555696 80500158 107333544 143111392 161000316 214667088 286222784 322000632 429334176 572445568 644001264 858668352 1144891136 1288002528 1717336704 2576005056 3434673408 5152010112 10304020224