Search a number
-
+
22113320020 = 225111632832179
BaseRepresentation
bin10100100110000011…
…100111110001010100
32010002010010001022121
4110212003213301110
5330242002220040
614054141105324
71411663055521
oct244603476124
963063101277
1022113320020
1194184356a0
124351858244
13211547a55c
1410dac3c148
15896564c4a
hex5260e7c54

22113320020 has 96 divisors (see below), whose sum is σ = 51173982720. Its totient is φ = 7959980160.

The previous prime is 22113319999. The next prime is 22113320071. The reversal of 22113320020 is 2002331122.

It is a junction number, because it is equal to n+sod(n) for n = 22113319976 and 22113320003.

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, 10147291 + ... + 10149469.

It is an arithmetic number, because the mean of its divisors is an integer number (533062320).

Almost surely, 222113320020 is an apocalyptic number.

22113320020 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 22113320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25586991360).

22113320020 is an abundant number, since it is smaller than the sum of its proper divisors (29060662700).

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

22113320020 is a wasteful number, since it uses less digits than its factorization.

22113320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22113320020 its reverse (2002331122), we get a palindrome (24115651142).

The spelling of 22113320020 in words is "twenty-two billion, one hundred thirteen million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 283 326 566 652 815 1132 1415 1630 1793 2179 2830 3113 3260 3586 4358 5660 6226 7172 8716 8965 10895 12452 15565 17930 21790 23969 31130 35860 43580 46129 47938 62260 92258 95876 119845 184516 230645 239690 355177 461290 479380 507419 616657 710354 922580 1014838 1233314 1420708 1775885 2029676 2466628 2537095 3083285 3551770 3906947 5074190 6166570 6783227 7103540 7813894 10148380 12333140 13566454 15627788 19534735 27132908 33916135 39069470 67832270 78138940 100515091 135664540 201030182 402060364 502575455 1005150910 1105666001 2010301820 2211332002 4422664004 5528330005 11056660010 22113320020