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20002211022222 = 2321113217196133019
BaseRepresentation
bin1001000110001001000001…
…01011101100010110001110
32121211012012110220001221200
410203010200223230112032
510110204012010202342
6110312520000010330
74133053302265542
oct443044053542616
977735173801850
1020002211022222
116411987735830
1222b06900009a6
13b2127b3a4300
144d217db67a22
1524a48402d94c
hex123120aec58e

20002211022222 has 576 divisors, whose sum is σ = 57170864275200. Its totient is φ = 4978964090880.

The previous prime is 20002211022197. The next prime is 20002211022223. The reversal of 20002211022222 is 22222011220002.

20002211022222 is a `hidden beast` number, since 200 + 0 + 221 + 1 + 0 + 22 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20002211022195 and 20002211022204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002211022223) 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 287 ways as a sum of consecutive naturals, for example, 6625441029 + ... + 6625444047.

It is an arithmetic number, because the mean of its divisors is an integer number (99254972700).

Almost surely, 220002211022222 is an apocalyptic number.

20002211022222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002211022222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28585432137600).

20002211022222 is an abundant number, since it is smaller than the sum of its proper divisors (37168653252978).

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

20002211022222 is a wasteful number, since it uses less digits than its factorization.

20002211022222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20002211022222 its reverse (22222011220002), we get a palindrome (42224222242224).

The spelling of 20002211022222 in words is "twenty trillion, two billion, two hundred eleven million, twenty-two thousand, two hundred twenty-two".