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22212222122112 = 273115258575313
BaseRepresentation
bin1010000110011101011111…
…00110111111100010000000
32220122110121221200011201120
411003032233212333202000
510402411112330401422
6115124053131432240
74451531366553021
oct503165746774200
986573557604646
1022212222122112
117094172353290
1225a8a642b5680
13c517b0030399
1456b11210ac48
15287bce2d245c
hex1433af9bf880

22212222122112 has 64 divisors (see below), whose sum is σ = 64364961843360. Its totient is φ = 6730976399360.

The previous prime is 22212222122087. The next prime is 22212222122119. The reversal of 22212222122112 is 21122122221222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 (22212222122119) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2629283433 + ... + 2629291880.

Almost surely, 222212222122112 is an apocalyptic number.

22212222122112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22212222122112 is an abundant number, since it is smaller than the sum of its proper divisors (42152739721248).

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

22212222122112 is a wasteful number, since it uses less digits than its factorization.

22212222122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258575341 (or 5258575329 counting only the distinct ones).

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

Adding to 22212222122112 its reverse (21122122221222), we get a palindrome (43334344343334).

The spelling of 22212222122112 in words is "twenty-two trillion, two hundred twelve billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 5258575313 10517150626 15775725939 21034301252 31551451878 42068602504 57844328443 63102903756 84137205008 115688656886 126205807512 168274410016 173532985329 231377313772 252411615024 336548820032 347065970658 462754627544 504823230048 673097640064 694131941316 925509255088 1009646460096 1388263882632 1851018510176 2019292920192 2776527765264 3702037020352 5553055530528 7404074040704 11106111061056 22212222122112