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22223332120 = 23511611495557
BaseRepresentation
bin10100101100100111…
…010010001100011000
32010100210010020112211
4110230213102030120
5331003133111440
614113111044504
71414500130513
oct245447221430
963323106484
1022223332120
119474545390
124382670734
1321321b8282
14110b6b7d7a
158a1045eea
hex52c9d2318

22223332120 has 128 divisors (see below), whose sum is σ = 55824552000. Its totient is φ = 7893964800.

The previous prime is 22223332099. The next prime is 22223332123. The reversal of 22223332120 is 2123332222.

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 = 22223332091 and 22223332100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22223332123) 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, 3996382 + ... + 4001938.

Almost surely, 222223332120 is an apocalyptic number.

22223332120 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 22223332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27912276000).

22223332120 is an abundant number, since it is smaller than the sum of its proper divisors (33601219880).

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

22223332120 is a wasteful number, since it uses less digits than its factorization.

22223332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5785 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 22223332120 its reverse (2123332222), we get a palindrome (24346664342).

The spelling of 22223332120 in words is "twenty-two billion, two hundred twenty-three million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 149 220 244 298 305 440 488 596 610 671 745 1192 1220 1342 1490 1639 2440 2684 2980 3278 3355 5368 5557 5960 6556 6710 8195 9089 11114 13112 13420 16390 18178 22228 26840 27785 32780 36356 44456 45445 55570 61127 65560 72712 90890 99979 111140 122254 181780 199958 222280 244508 305635 338977 363560 399916 489016 499895 611270 677954 799832 827993 999790 1222540 1355908 1655986 1694885 1999580 2445080 2711816 3311972 3389770 3728747 3999160 4139965 6623944 6779540 7457494 8279930 9107923 13559080 14914988 16559860 18215846 18643735 29829976 33119720 36431692 37287470 45539615 50507573 72863384 74574940 91079230 101015146 149149880 182158460 202030292 252537865 364316920 404060584 505075730 555583303 1010151460 1111166606 2020302920 2222333212 2777916515 4444666424 5555833030 11111666060 22223332120