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22412414544 = 24313106933599
BaseRepresentation
bin10100110111111000…
…100100111001010000
32010211221220121212120
4110313320210321100
5331400034231134
614143543454240
71422254244312
oct246770447120
963757817776
1022412414544
119561250853
124415a57380
13216241c170
1411288577b2
158b2945649
hex537e24e50

22412414544 has 80 divisors (see below), whose sum is σ = 62412672000. Its totient is φ = 6889471488.

The previous prime is 22412414543. The next prime is 22412414551. The reversal of 22412414544 is 44541421422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22412414543) by changing a digit.

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, 650257 + ... + 683855.

It is an arithmetic number, because the mean of its divisors is an integer number (780158400).

Almost surely, 222412414544 is an apocalyptic number.

22412414544 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 22412414544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31206336000).

22412414544 is an abundant number, since it is smaller than the sum of its proper divisors (40000257456).

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

22412414544 is a wasteful number, since it uses less digits than its factorization.

22412414544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34692 (or 34686 counting only the distinct ones).

The product of its digits is 40960, while the sum is 33.

Adding to 22412414544 its reverse (44541421422), we get a palindrome (66953835966).

The spelling of 22412414544 in words is "twenty-two billion, four hundred twelve million, four hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1069 2138 3207 4276 6414 8552 12828 13897 17104 25656 27794 33599 41691 51312 55588 67198 83382 100797 111176 134396 166764 201594 222352 268792 333528 403188 436787 537584 667056 806376 873574 1310361 1612752 1747148 2620722 3494296 5241444 6988592 10482888 20965776 35917331 71834662 107751993 143669324 215503986 287338648 431007972 466925303 574677296 862015944 933850606 1400775909 1724031888 1867701212 2801551818 3735402424 5603103636 7470804848 11206207272 22412414544