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22441043424 = 25310312131871
BaseRepresentation
bin10100111001100101…
…110010010111100000
32010220221210010022110
4110321211302113200
5331424401342144
614150445235320
71423052502402
oct247145622740
963827703273
1022441043424
119576425088
124423562b40
132168334027
14112c58ab72
158b51ed0b9
hex5399725e0

22441043424 has 96 divisors (see below), whose sum is σ = 59560510464. Its totient is φ = 7397660160.

The previous prime is 22441043413. The next prime is 22441043441. The reversal of 22441043424 is 42434014422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 22441043391 and 22441043400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11993209 + ... + 11995079.

It is an arithmetic number, because the mean of its divisors is an integer number (620421984).

Almost surely, 222441043424 is an apocalyptic number.

22441043424 is a gapful number since it is divisible by the number (24) 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 22441043424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29780255232).

22441043424 is an abundant number, since it is smaller than the sum of its proper divisors (37119467040).

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

22441043424 is a wasteful number, since it uses less digits than its factorization.

22441043424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 22441043424 its reverse (42434014422), we get a palindrome (64875057846).

The spelling of 22441043424 in words is "twenty-two billion, four hundred forty-one million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1213 1236 1648 1871 2426 2472 3296 3639 3742 4852 4944 5613 7278 7484 9704 9888 11226 14556 14968 19408 22452 29112 29936 38816 44904 58224 59872 89808 116448 124939 179616 192713 249878 374817 385426 499756 578139 749634 770852 999512 1156278 1499268 1541704 1999024 2269523 2312556 2998536 3083408 3998048 4539046 4625112 5997072 6166816 6808569 9078092 9250224 11994144 13617138 18156184 18500448 27234276 36312368 54468552 72624736 108937104 217874208 233760869 467521738 701282607 935043476 1402565214 1870086952 2805130428 3740173904 5610260856 7480347808 11220521712 22441043424