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22220112222 = 23272116734183
BaseRepresentation
bin10100101100011011…
…000000000101011110
32010100120001122200100
4110230123000011132
5331001322042342
614112514041530
71414430560200
oct245433000536
963316048610
1022220112222
119472746210
1243815792a6
13213162b7c9
14110b0ba770
158a0b0be4c
hex52c6c015e

22220112222 has 144 divisors (see below), whose sum is σ = 62008682112. Its totient is φ = 5685150240.

The previous prime is 22220112221. The next prime is 22220112311. The reversal of 22220112222 is 22221102222.

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 = 22220112195 and 22220112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220112221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 632943 + ... + 667125.

It is an arithmetic number, because the mean of its divisors is an integer number (430615848).

Almost surely, 222220112222 is an apocalyptic number.

22220112222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22220112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31004341056).

22220112222 is an abundant number, since it is smaller than the sum of its proper divisors (39788569890).

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

22220112222 is a wasteful number, since it uses less digits than its factorization.

22220112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34283 (or 34273 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22220112222 its reverse (22221102222), we get a palindrome (44441214444).

The spelling of 22220112222 in words is "twenty-two billion, two hundred twenty million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 67 77 98 99 126 134 147 154 198 201 231 294 402 441 462 469 539 603 693 737 882 938 1078 1206 1386 1407 1474 1617 2211 2814 3234 3283 4221 4422 4851 5159 6566 6633 8442 9702 9849 10318 13266 15477 19698 29547 30954 34183 36113 46431 59094 68366 72226 92862 102549 108339 205098 216678 239281 307647 325017 376013 478562 615294 650034 717843 752026 1128039 1435686 1674967 2153529 2256078 2290261 2632091 3349934 3384117 4307058 4580522 5024901 5264182 6768234 6870783 7896273 10049802 13741566 15074703 15792546 16031827 18424637 20612349 23688819 25192871 30149406 32063654 36849274 41224698 47377638 48095481 50385742 55273911 75578613 96190962 110547822 112222789 144286443 151157226 165821733 176350097 224445578 226735839 288572886 331643466 336668367 352700194 453471678 529050291 673336734 1010005101 1058100582 1234450679 1587150873 2020010202 2468901358 3174301746 3703352037 7406704074 11110056111 22220112222