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43224213344 = 2513210973327
BaseRepresentation
bin101000010000010111…
…010010011101100000
311010120100222112201112
4220100113102131200
51202010344311334
631505032522452
73060064515464
oct502027223540
9133510875645
1043224213344
1117370a3a274
128463850428
1340cb04b200
14214089a4a4
1511ceab94ce
hexa105d2760

43224213344 has 72 divisors (see below), whose sum is σ = 92993836320. Its totient is φ = 19766343168.

The previous prime is 43224213341. The next prime is 43224213367. The reversal of 43224213344 is 44331242234.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 43224213344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43224213341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552809 + ... + 626135.

It is an arithmetic number, because the mean of its divisors is an integer number (1291581060).

Almost surely, 243224213344 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 43224213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46496918160).

43224213344 is an abundant number, since it is smaller than the sum of its proper divisors (49769622976).

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

43224213344 is a wasteful number, since it uses less digits than its factorization.

43224213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73472 (or 73451 counting only the distinct ones).

The product of its digits is 55296, while the sum is 32.

Adding to 43224213344 its reverse (44331242234), we get a palindrome (87555455578).

The spelling of 43224213344 in words is "forty-three billion, two hundred twenty-four million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 109 169 208 218 338 416 436 676 872 1352 1417 1744 2704 2834 3488 5408 5668 11336 18421 22672 36842 45344 73327 73684 146654 147368 293308 294736 586616 589472 953251 1173232 1906502 2346464 3813004 7626008 7992643 12392263 15252016 15985286 24784526 30504032 31970572 49569052 63941144 99138104 103904359 127882288 198276208 207808718 255764576 396552416 415617436 831234872 1350756667 1662469744 2701513334 3324939488 5403026668 10806053336 21612106672 43224213344