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22012122102222 = 23722391721182027
BaseRepresentation
bin1010000000101000110001…
…01101111111100111001110
32212221100010122011221201210
411000110120231333213032
510341121311224232342
6114452121305515250
74431215622501600
oct500243055774716
985840118157653
1022012122102222
11701731a08771a
12257611b1a2b26
13c38971091655
1456156ca31170
152828bc1a279c
hex140518b7f9ce

22012122102222 has 96 divisors (see below), whose sum is σ = 51456315778560. Its totient is φ = 6259189722240.

The previous prime is 22012122102193. The next prime is 22012122102247. The reversal of 22012122102222 is 22220122121022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120836773 + ... + 121018799.

It is an arithmetic number, because the mean of its divisors is an integer number (536003289360).

Almost surely, 222012122102222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012122102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25728157889280).

22012122102222 is an abundant number, since it is smaller than the sum of its proper divisors (29444193676338).

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

22012122102222 is a wasteful number, since it uses less digits than its factorization.

22012122102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184006 (or 183999 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 22012122102222 its reverse (22220122121022), we get a palindrome (44232244223244).

The spelling of 22012122102222 in words is "twenty-two trillion, twelve billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 239 294 478 717 1434 1673 1721 3346 3442 5019 5163 10038 10326 11711 12047 23422 24094 35133 36141 70266 72282 84329 168658 182027 252987 364054 411319 505974 546081 822638 1092162 1233957 1274189 2467914 2548378 2879233 3822567 5758466 7645134 8637699 8919323 17275398 17838646 20154631 26757969 40309262 43504453 53515938 60463893 87008906 120927786 130513359 261026718 304531171 313268467 609062342 626536934 913593513 939805401 1827187026 1879610802 2131718197 2192879269 4263436394 4385758538 6395154591 6578637807 12790309182 13157275614 15350154883 30700309766 46050464649 74871163613 92100929298 149742327226 224613490839 449226981678 524098145291 1048196290582 1572294435873 3144588871746 3668687017037 7337374034074 11006061051111 22012122102222