Search a number
-
+
22075337424 = 2437419111759
BaseRepresentation
bin10100100011110010…
…101110101011010000
32002222110122022222210
4110203302232223100
5330202241244144
614050303032120
71411022162220
oct244362565320
962873568883
1022075337424
1193a8a52818
124340b9b640
13210a63c04a
1410d5b92080
15893060ab9
hex523caead0

22075337424 has 160 divisors (see below), whose sum is σ = 66875719680. Its totient is φ = 6143155200.

The previous prime is 22075337419. The next prime is 22075337507. The reversal of 22075337424 is 42473357022.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12549057 + ... + 12550815.

It is an arithmetic number, because the mean of its divisors is an integer number (417973248).

Almost surely, 222075337424 is an apocalyptic number.

22075337424 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 22075337424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33437859840).

22075337424 is an abundant number, since it is smaller than the sum of its proper divisors (44800382256).

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

22075337424 is a wasteful number, since it uses less digits than its factorization.

22075337424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 39.

The spelling of 22075337424 in words is "twenty-two billion, seventy-five million, three hundred thirty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 911 984 1148 1722 1759 1822 1968 2296 2733 3444 3518 3644 4592 5277 5466 6377 6888 7036 7288 10554 10932 12313 12754 13776 14072 14576 19131 21108 21864 24626 25508 28144 36939 37351 38262 42216 43728 49252 51016 72119 73878 74702 76524 84432 98504 102032 112053 144238 147756 149404 153048 197008 216357 224106 261457 288476 295512 298808 306096 432714 448212 504833 522914 576952 591024 597616 784371 865428 896424 1009666 1045828 1153904 1514499 1568742 1602449 1730856 1792848 2019332 2091656 3028998 3137484 3204898 3461712 4038664 4183312 4807347 6057996 6274968 6409796 8077328 9614694 11217143 12115992 12549936 12819592 19229388 22434286 24231984 25639184 33651429 38458776 44868572 65700409 67302858 76917552 89737144 131400818 134605716 179474288 197101227 262801636 269211432 394202454 459902863 525603272 538422864 788404908 919805726 1051206544 1379708589 1576809816 1839611452 2759417178 3153619632 3679222904 5518834356 7358445808 11037668712 22075337424