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22231124344 = 231113194192441
BaseRepresentation
bin10100101101000101…
…000000100101111000
32010101022210010110201
4110231011000211320
5331012131434334
614113550051544
71414623303412
oct245505004570
963338703421
1022231124344
119478987840
1243851a9bb4
1321339b5c60
14110c7459b2
158a1a84c14
hex52d140978

22231124344 has 128 divisors (see below), whose sum is σ = 51692256000. Its totient is φ = 8812108800.

The previous prime is 22231124291. The next prime is 22231124347. The reversal of 22231124344 is 44342113222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22231124347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9106164 + ... + 9108604.

It is an arithmetic number, because the mean of its divisors is an integer number (403845750).

Almost surely, 222231124344 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 22231124344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25846128000).

22231124344 is an abundant number, since it is smaller than the sum of its proper divisors (29461131656).

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

22231124344 is a wasteful number, since it uses less digits than its factorization.

22231124344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2905 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

Adding to 22231124344 its reverse (44342113222), we get a palindrome (66573237566).

The spelling of 22231124344 in words is "twenty-two billion, two hundred thirty-one million, one hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 76 88 104 143 152 209 247 286 418 419 494 572 836 838 988 1144 1672 1676 1976 2441 2717 3352 4609 4882 5434 5447 7961 9218 9764 10868 10894 15922 18436 19528 21736 21788 26851 31733 31844 36872 43576 46379 53702 59917 63466 63688 87571 92758 103493 107404 119834 126932 175142 185516 206986 214808 239668 253864 349063 350284 371032 413972 479336 510169 602927 698126 700568 827944 1020338 1022779 1138423 1205854 1396252 2040676 2045558 2276846 2411708 2792504 4081352 4091116 4553692 4823416 6632197 8182232 9107384 11250569 13264394 13296127 19432801 22501138 26528788 26592254 38865602 45002276 53057576 53184508 77731204 90004552 106369016 146257397 155462408 213760811 252626413 292514794 427521622 505252826 585029588 855043244 1010505652 1170059176 1710086488 2021011304 2778890543 5557781086 11115562172 22231124344