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11221234304 = 27729342743
BaseRepresentation
bin10100111001101011…
…00111001010000000
31001222000201202122112
422130311213022000
5140440113444204
65053245554452
7545033626550
oct123465471200
931860652575
1011221234304
114839104465
122211b75a28
13109aa07b17
1478641d160
1545a1e026e
hex29cd67280

11221234304 has 64 divisors (see below), whose sum is σ = 25636141440. Its totient is φ = 4792574976.

The previous prime is 11221234289. The next prime is 11221234333. The reversal of 11221234304 is 40343212211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 11221234304.

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, 241157 + ... + 283899.

It is an arithmetic number, because the mean of its divisors is an integer number (400564710).

Almost surely, 211221234304 is an apocalyptic number.

11221234304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12818070720).

11221234304 is an abundant number, since it is smaller than the sum of its proper divisors (14414907136).

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

11221234304 is an equidigital number, since it uses as much as digits as its factorization.

11221234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43057 (or 43045 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 11221234304 its reverse (40343212211), we get a palindrome (51564446515).

The spelling of 11221234304 in words is "eleven billion, two hundred twenty-one million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 293 448 586 896 1172 2051 2344 4102 4688 8204 9376 16408 18752 32816 37504 42743 65632 85486 131264 170972 262528 299201 341944 598402 683888 1196804 1367776 2393608 2735552 4787216 5471104 9574432 12523699 19148864 25047398 38297728 50094796 87665893 100189592 175331786 200379184 350663572 400758368 701327144 801516736 1402654288 1603033472 2805308576 5610617152 11221234304