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22634235344 = 2473118136017
BaseRepresentation
bin10101000101000110…
…110000010111010000
32011102102022021210202
4111011012300113100
5332323331012334
614221550114332
71430616553220
oct250506602720
964372267722
1022634235344
119665488026
1244781ab9a8
132199376586
14114a0ba080
158c716017e
hex5451b05d0

22634235344 has 80 divisors (see below), whose sum is σ = 52022670336. Its totient is φ = 9335347200.

The previous prime is 22634235343. The next prime is 22634235409. The reversal of 22634235344 is 44353243622.

It is a junction number, because it is equal to n+sod(n) for n = 22634235298 and 22634235307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22634235343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610424 + ... + 646440.

Almost surely, 222634235344 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 22634235344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26011335168).

22634235344 is an abundant number, since it is smaller than the sum of its proper divisors (29388434992).

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

22634235344 is a wasteful number, since it uses less digits than its factorization.

22634235344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36244 (or 36238 counting only the distinct ones).

The product of its digits is 414720, while the sum is 38.

Adding to 22634235344 its reverse (44353243622), we get a palindrome (66987478966).

The spelling of 22634235344 in words is "twenty-two billion, six hundred thirty-four million, two hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 181 217 248 362 434 496 724 868 1267 1448 1736 2534 2896 3472 5068 5611 10136 11222 20272 22444 36017 39277 44888 72034 78554 89776 144068 157108 252119 288136 314216 504238 576272 628432 1008476 1116527 2016952 2233054 4033904 4466108 6519077 7815689 8932216 13038154 15631378 17864432 26076308 31262756 45633539 52152616 62525512 91267078 104305232 125051024 182534156 202091387 365068312 404182774 730136624 808365548 1414639709 1616731096 2829279418 3233462192 5658558836 11317117672 22634235344