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422304120 = 2332571031627
BaseRepresentation
bin11001001010111…
…101100101111000
31002102122021100100
4121022331211320
51331102212440
6105523235400
713315345230
oct3112754570
91072567310
10422304120
111a741a377
12b9518b60
13696506c4
144012ccc0
152711c230
hex192bd978

422304120 has 192 divisors, whose sum is σ = 1584760320. Its totient is φ = 95530752.

The previous prime is 422304079. The next prime is 422304151. The reversal of 422304120 is 21403224.

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 = 422304093 and 422304102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258747 + ... + 260373.

It is an arithmetic number, because the mean of its divisors is an integer number (8253960).

Almost surely, 2422304120 is an apocalyptic number.

422304120 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 422304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792380160).

422304120 is an abundant number, since it is smaller than the sum of its proper divisors (1162456200).

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

422304120 is a wasteful number, since it uses less digits than its factorization.

422304120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 422304120 is about 20550.0394160206. The cubic root of 422304120 is about 750.2542071619.

Adding to 422304120 its reverse (21403224), we get a palindrome (443707344).

The spelling of 422304120 in words is "four hundred twenty-two million, three hundred four thousand, one hundred twenty".