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422400012322020 = 223589163880355127
BaseRepresentation
bin110000000001010111010101…
…0101100000000010011100100
32001101121001021010022212101120
41200002232222230000103210
5420331100211123301040
64054211515314253540
7154654252035053505
oct14002565254002344
92041531233285346
10422400012322020
111126539260125a7
123b45bb515872b0
13151901c5129905
1476443ac004bac
1533c78d89c17d0
hex1802baab004e4

422400012322020 has 192 divisors, whose sum is σ = 1203505030748160. Its totient is φ = 110676524884992.

The previous prime is 422400012322019. The next prime is 422400012322037. The reversal of 422400012322020 is 20223210004224.

It is a super-4 number, since 4×4224000123220204 (a number of 60 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7662279697 + ... + 7662334823.

It is an arithmetic number, because the mean of its divisors is an integer number (6268255368480).

Almost surely, 2422400012322020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422400012322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601752515374080).

422400012322020 is an abundant number, since it is smaller than the sum of its proper divisors (781105018426140).

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

422400012322020 is a wasteful number, since it uses less digits than its factorization.

422400012322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64194 (or 64192 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 422400012322020 its reverse (20223210004224), we get a palindrome (442623222326244).

The spelling of 422400012322020 in words is "four hundred twenty-two trillion, four hundred billion, twelve million, three hundred twenty-two thousand, twenty".