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20220122220424 = 2374753347417727
BaseRepresentation
bin1001001100011110111010…
…01100111100011110001000
32122121000200002020220022021
410212033131030330132020
510122241302242023144
6111000555041134224
74154566323022360
oct446173514743610
978530602226267
1020220122220424
11649633a946275
12232696602a374
13b389984012c9
144dc93295b9a0
15250e89b69884
hex1263dd33c788

20220122220424 has 128 divisors (see below), whose sum is σ = 45215680757760. Its totient is φ = 8297361715968.

The previous prime is 20220122220407. The next prime is 20220122220469. The reversal of 20220122220424 is 42402222102202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48196249 + ... + 48613975.

It is an arithmetic number, because the mean of its divisors is an integer number (353247505920).

Almost surely, 220220122220424 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 20220122220424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22607840378880).

20220122220424 is an abundant number, since it is smaller than the sum of its proper divisors (24995558537336).

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

20220122220424 is a wasteful number, since it uses less digits than its factorization.

20220122220424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418187 (or 418183 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 20220122220424 its reverse (42402222102202), we get a palindrome (62622344322626).

The spelling of 20220122220424 in words is "twenty trillion, two hundred twenty billion, one hundred twenty-two million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 47 53 56 94 106 188 212 329 347 371 376 424 658 694 742 1316 1388 1484 2429 2491 2632 2776 2968 4858 4982 9716 9964 16309 17437 18391 19432 19928 32618 34874 36782 65236 69748 73564 114163 128737 130472 139496 147128 228326 257474 417727 456652 514948 835454 864377 913304 1029896 1670908 1728754 2924089 3341816 3457508 5848178 6050639 6915016 11696356 12101278 19633169 22139531 23392712 24202556 39266338 44279062 48405112 78532676 88558124 137432183 144951269 154976717 157065352 177116248 274864366 289902538 309953434 549728732 579805076 619906868 1014658883 1040557957 1099457464 1159610152 1239813736 2029317766 2081115914 4058635532 4162231828 6812709643 7283905699 7682417257 8117271064 8324463656 13625419286 14567811398 15364834514 27250838572 29135622796 30729669028 47688967501 53776920799 54501677144 58271245592 61459338056 95377935002 107553841598 190755870004 215107683196 361073611079 381511740008 430215366392 722147222158 1444294444316 2527515277553 2888588888632 5055030555106 10110061110212 20220122220424