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20020222222000 = 24537112131019001
BaseRepresentation
bin1001000110101010100100…
…01110111101111010110000
32121212220200201010211011221
410203111102032331322300
510111002403342101000
6110325055122314424
74134261525045220
oct443252216757260
977786621124157
1020020222222000
11641958a577800
1222b4077ab8a14
13b22b8ba26580
144d2dabc6c080
1524ab8a39a61a
hex1235523bdeb0

20020222222000 has 960 divisors, whose sum is σ = 66144712967424. Its totient is φ = 5702400000000.

The previous prime is 20020222221973. The next prime is 20020222222067. The reversal of 20020222222000 is 22222202002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 191 ways as a sum of consecutive naturals, for example, 2224217500 + ... + 2224226500.

Almost surely, 220020222222000 is an apocalyptic number.

20020222222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020222222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33072356483712).

20020222222000 is an abundant number, since it is smaller than the sum of its proper divisors (46124490745424).

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

20020222222000 is a wasteful number, since it uses less digits than its factorization.

20020222222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9167 (or 9140 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20020222222000 its reverse (22222202002), we get a palindrome (20042444424002).

The spelling of 20020222222000 in words is "twenty trillion, twenty billion, two hundred twenty-two million, two hundred twenty-two thousand".