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221222222000 = 2453138508547
BaseRepresentation
bin1100111000000111011…
…1110011100010110000
3210011000100122021010122
43032001313303202300
512111030342101000
6245343355545412
721661043601233
oct3160167634260
9704010567118
10221222222000
11859021a474a
1236a5aa5b268
1317b26c9bba0
14a9c883d41a
155b4b66a085
hex3381df38b0

221222222000 has 80 divisors (see below), whose sum is σ = 576062733792. Its totient is φ = 81682041600.

The previous prime is 221222221967. The next prime is 221222222009. The reversal of 221222222000 is 222222122.

221222222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 221222222000.

It is not an unprimeable number, because it can be changed into a prime (221222222009) 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, 4228274 + ... + 4280273.

Almost surely, 2221222222000 is an apocalyptic number.

221222222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222222000 is an abundant number, since it is smaller than the sum of its proper divisors (354840511792).

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

221222222000 is a wasteful number, since it uses less digits than its factorization.

221222222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508583 (or 8508567 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 221222222000 its reverse (222222122), we get a palindrome (221444444122).

The spelling of 221222222000 in words is "two hundred twenty-one billion, two hundred twenty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 8508547 17017094 34034188 42542735 68068376 85085470 110611111 136136752 170170940 212713675 221222222 340341880 425427350 442444444 553055555 680683760 850854700 884888888 1063568375 1106111110 1701709400 1769777776 2127136750 2212222220 2765277775 3403418800 4254273500 4424444440 5530555550 8508547000 8848888880 11061111100 13826388875 17017094000 22122222200 27652777750 44244444400 55305555500 110611111000 221222222000