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22223120220 = 22325789198173
BaseRepresentation
bin10100101100100110…
…011110011101011100
32010100202201110212200
4110230212132131130
5331003104321340
614113102331500
71414465255650
oct245446363534
963322643780
1022223120220
119474410164
124382589b90
1321321429a2
14110b660a60
158a1003330
hex52c99e75c

22223120220 has 144 divisors (see below), whose sum is σ = 77906162880. Its totient is φ = 5022471168.

The previous prime is 22223120173. The next prime is 22223120261. The reversal of 22223120220 is 2202132222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22223120193 and 22223120202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13054 + ... + 211226.

It is an arithmetic number, because the mean of its divisors is an integer number (541015020).

Almost surely, 222223120220 is an apocalyptic number.

22223120220 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 22223120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38953081440).

22223120220 is an abundant number, since it is smaller than the sum of its proper divisors (55683042660).

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

22223120220 is a wasteful number, since it uses less digits than its factorization.

22223120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198284 (or 198279 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22223120220 its reverse (2202132222), we get a palindrome (24425252442).

The spelling of 22223120220 in words is "twenty-two billion, two hundred twenty-three million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 89 90 105 126 140 178 180 210 252 267 315 356 420 445 534 623 630 801 890 1068 1246 1260 1335 1602 1780 1869 2492 2670 3115 3204 3738 4005 5340 5607 6230 7476 8010 9345 11214 12460 16020 18690 22428 28035 37380 56070 112140 198173 396346 594519 792692 990865 1189038 1387211 1783557 1981730 2378076 2774422 2972595 3567114 3963460 4161633 5548844 5945190 6936055 7134228 8323266 8917785 11890380 12484899 13872110 16646532 17637397 17835570 20808165 24969798 27744220 35274794 35671140 41616330 49939596 52912191 62424495 70549588 83232660 88186985 105824382 123461779 124848990 158736573 176373970 211648764 246923558 249697980 264560955 317473146 352747940 370385337 493847116 529121910 617308895 634946292 740770674 793682865 1058243820 1111156011 1234617790 1481541348 1587365730 1851926685 2222312022 2469235580 3174731460 3703853370 4444624044 5555780055 7407706740 11111560110 22223120220