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22112222222112 = 25311135599154423
BaseRepresentation
bin1010000011100011001110…
…01001101001011100100000
32220021220111210012220122120
411001301213021221130200
510344241312342101422
6115010114210504240
74441361323462041
oct501614711513440
986256453186576
1022112222222112
117055816a86330
1225915b6595080
13c45234557319
145663470b48c8
152852ca0b745c
hex141c67269720

22112222222112 has 96 divisors (see below), whose sum is σ = 63322240665600. Its totient is φ = 6700580593920.

The previous prime is 22112222222099. The next prime is 22112222222113. The reversal of 22112222222112 is 21122222221122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22112222222113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 143115333 + ... + 143269755.

It is an arithmetic number, because the mean of its divisors is an integer number (659606673600).

Almost surely, 222112222222112 is an apocalyptic number.

22112222222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22112222222112 is an abundant number, since it is smaller than the sum of its proper divisors (41210018443488).

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

22112222222112 is a wasteful number, since it uses less digits than its factorization.

22112222222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290046 (or 290038 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

Adding to 22112222222112 its reverse (21122222221122), we get a palindrome (43234444443234).

It can be divided in two parts, 2 and 2112222222112, that multiplied together give a palindrome (4224444444224).

The spelling of 22112222222112 in words is "twenty-two trillion, one hundred twelve billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 135599 154423 271198 308846 406797 463269 542396 617692 813594 926538 1084792 1235384 1491589 1627188 1698653 1853076 2169584 2470768 2983178 3254376 3397306 3706152 4339168 4474767 4941536 5095959 5966356 6508752 6794612 7412304 8949534 10191918 11932712 13017504 13589224 14824608 17899068 20383836 23865424 27178448 35798136 40767672 47730848 54356896 71596272 81535344 143192544 163070688 20939604377 41879208754 62818813131 83758417508 125637626262 167516835016 230335648147 251275252524 335033670032 460671296294 502550505048 670067340064 691006944441 921342592588 1005101010096 1382013888882 1842685185176 2010202020192 2764027777764 3685370370352 5528055555528 7370740740704 11056111111056 22112222222112