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20420444220 = 2235111032811069
BaseRepresentation
bin10011000001001001…
…110100000000111100
31221201010200001021220
4103001021310000330
5313310113203340
613214144553340
71322015624541
oct230111640074
957633601256
1020420444220
118729898a90
123b5a922850
131c058268b7
14dba08cbc8
157e7b1bed0
hex4c127403c

20420444220 has 192 divisors, whose sum is σ = 63264015360. Its totient is φ = 4880332800.

The previous prime is 20420444197. The next prime is 20420444287. The reversal of 20420444220 is 2244402402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19101846 + ... + 19102914.

It is an arithmetic number, because the mean of its divisors is an integer number (329500080).

Almost surely, 220420444220 is an apocalyptic number.

20420444220 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 20420444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31632007680).

20420444220 is an abundant number, since it is smaller than the sum of its proper divisors (42843571140).

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

20420444220 is a wasteful number, since it uses less digits than its factorization.

20420444220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 20420444220 its reverse (2244402402), we get a palindrome (22664846622).

The spelling of 20420444220 in words is "twenty billion, four hundred twenty million, four hundred forty-four thousand, two hundred twenty".