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22242220 = 225711213101
BaseRepresentation
bin101010011011…
…0001110101100
31112212000120221
41110312032230
521143222340
62112421124
7360025060
oct124661654
945760527
1022242220
1111611a00
1275477a4
1347b9ba0
142d4daa0
151e4544a
hex15363ac

22242220 has 144 divisors (see below), whose sum is σ = 63814464. Its totient is φ = 6336000.

The previous prime is 22242211. The next prime is 22242251. The reversal of 22242220 is 2224222.

It is a junction number, because it is equal to n+sod(n) for n = 22242194 and 22242203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220170 + ... + 220270.

It is an arithmetic number, because the mean of its divisors is an integer number (443156).

Almost surely, 222242220 is an apocalyptic number.

22242220 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 22242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31907232).

22242220 is an abundant number, since it is smaller than the sum of its proper divisors (41572244).

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

22242220 is a wasteful number, since it uses less digits than its factorization.

22242220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 22242220 is about 4716.1658155752. The cubic root of 22242220 is about 281.2285303776.

Adding to 22242220 its reverse (2224222), we get a palindrome (24466442).

It can be divided in two parts, 2224 and 2220, that added together give a palindrome (4444).

The spelling of 22242220 in words is "twenty-two million, two hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 101 110 121 130 140 143 154 182 202 220 242 260 286 308 364 385 404 455 484 505 572 605 707 715 770 847 910 1001 1010 1111 1210 1313 1414 1430 1540 1573 1694 1820 2002 2020 2222 2420 2626 2828 2860 3146 3388 3535 4004 4235 4444 5005 5252 5555 6292 6565 7070 7777 7865 8470 9191 10010 11011 11110 12221 13130 14140 14443 15554 15730 16940 18382 20020 22022 22220 24442 26260 28886 31108 31460 36764 38885 44044 45955 48884 55055 57772 61105 72215 77770 85547 91910 101101 110110 122210 144430 155540 158873 171094 183820 202202 220220 244420 288860 317746 342188 404404 427735 505505 635492 794365 855470 1011010 1112111 1588730 1710940 2022020 2224222 3177460 4448444 5560555 11121110 22242220