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42222303232 = 211172934139
BaseRepresentation
bin100111010100101001…
…010011100000000000
311000222112201020102121
4213110221103200000
51142432402200412
631221402254024
73023210440654
oct472451234000
9130875636377
1042222303232
11169a743138a
1282241b7314
133c9b5c27a5
1420877b2a64
151171b5c107
hex9d4a53800

42222303232 has 96 divisors (see below), whose sum is σ = 89716863600. Its totient is φ = 19796721664.

The previous prime is 42222303229. The next prime is 42222303257. The reversal of 42222303232 is 23230322224.

It is a junction number, because it is equal to n+sod(n) for n = 42222303197 and 42222303206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10199019 + ... + 10203157.

Almost surely, 242222303232 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 42222303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44858431800).

42222303232 is an abundant number, since it is smaller than the sum of its proper divisors (47494560368).

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

42222303232 is a wasteful number, since it uses less digits than its factorization.

42222303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 42222303232 its reverse (23230322224), we get a palindrome (65452625456).

The spelling of 42222303232 in words is "forty-two billion, two hundred twenty-two million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 293 512 544 586 1024 1088 1172 2048 2176 2344 4139 4352 4688 4981 8278 8704 9376 9962 16556 17408 18752 19924 33112 34816 37504 39848 66224 70363 75008 79696 132448 140726 150016 159392 264896 281452 300032 318784 529792 562904 600064 637568 1059584 1125808 1212727 1275136 2119168 2251616 2425454 2550272 4238336 4503232 4850908 5100544 8476672 9006464 9701816 10201088 18012928 19403632 20616359 36025856 38807264 41232718 72051712 77614528 82465436 144103424 155229056 164930872 310458112 329861744 620916224 659723488 1241832448 1319446976 2483664896 2638893952 5277787904 10555575808 21111151616 42222303232