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22512224020 = 225111347916433
BaseRepresentation
bin10100111101110101…
…010100011100010100
32011002220201110201211
4110331311110130110
5332101112132040
614201511031204
71424605514116
oct247565243424
964086643654
1022512224020
119602622120
12444336b504
132179cc7020
141137bd93b6
158bb5ad8ea
hex53dd54714

22512224020 has 96 divisors (see below), whose sum is σ = 55659985920. Its totient is φ = 7540316160.

The previous prime is 22512224017. The next prime is 22512224069. The reversal of 22512224020 is 2042221522.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22512223982 and 22512224000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1361724 + ... + 1378156.

It is an arithmetic number, because the mean of its divisors is an integer number (579791520).

Almost surely, 222512224020 is an apocalyptic number.

22512224020 is a gapful number since it is divisible by the number (20) 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 22512224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27829992960).

22512224020 is an abundant number, since it is smaller than the sum of its proper divisors (33147761900).

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

22512224020 is a wasteful number, since it uses less digits than its factorization.

22512224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16945 (or 16943 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 22512224020 its reverse (2042221522), we get a palindrome (24554445542).

The spelling of 22512224020 in words is "twenty-two billion, five hundred twelve million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 479 572 715 958 1430 1916 2395 2860 4790 5269 6227 9580 10538 12454 16433 21076 24908 26345 31135 32866 52690 62270 65732 68497 82165 105380 124540 136994 164330 180763 213629 273988 328660 342485 361526 427258 684970 723052 854516 903815 1068145 1369940 1807630 2136290 2349919 3615260 4272580 4699838 7871407 9399676 11749595 15742814 23499190 31485628 39357035 46998380 78714070 86585477 102328291 157428140 173170954 204656582 346341908 409313164 432927385 511641455 865854770 1023282910 1125611201 1731709540 2046565820 2251222402 4502444804 5628056005 11256112010 22512224020