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422420220200 = 2352112412711571
BaseRepresentation
bin1100010010110100011…
…01010000100100101000
31111101100012011120012202
412021122031100210220
523410104034021300
6522020203155332
742342652425326
oct6113215204450
91441305146182
10422420220200
11153169224700
1269a4b815b48
1330aac561324
1416633a8cd16
15aec4d81ad5
hex625a350928

422420220200 has 288 divisors, whose sum is σ = 1110645164160. Its totient is φ = 149212800000.

The previous prime is 422420220119. The next prime is 422420220247. The reversal of 422420220200 is 2022024224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 268885415 + ... + 268886985.

It is an arithmetic number, because the mean of its divisors is an integer number (3856406820).

Almost surely, 2422420220200 is an apocalyptic number.

422420220200 is a gapful number since it is divisible by the number (40) 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 422420220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555322582080).

422420220200 is an abundant number, since it is smaller than the sum of its proper divisors (688224943960).

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

422420220200 is a wasteful number, since it uses less digits than its factorization.

422420220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 422420220200 its reverse (2022024224), we get a palindrome (424442244424).

It can be divided in two parts, 42 and 2420220200, that added together give a palindrome (2420220242).

The spelling of 422420220200 in words is "four hundred twenty-two billion, four hundred twenty million, two hundred twenty thousand, two hundred".