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2143422400 = 26527211907
BaseRepresentation
bin111111111000010…
…0000011111000000
312112101020010202211
41333300200133000
513342204004100
6552404551504
7104054534620
oct17760403700
95471203684
102143422400
119aa9a6a79
124b99b2594
132820b23a2
14164950880
15c82931ba
hex7fc207c0

2143422400 has 168 divisors, whose sum is σ = 6062854016. Its totient is φ = 730598400.

The previous prime is 2143422383. The next prime is 2143422401. The reversal of 2143422400 is 42243412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143422401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2362747 + ... + 2363653.

Almost surely, 22143422400 is an apocalyptic number.

2143422400 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 2143422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031427008).

2143422400 is an abundant number, since it is smaller than the sum of its proper divisors (3919431616).

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

2143422400 is a wasteful number, since it uses less digits than its factorization.

2143422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2143422400 is about 46297.1100609962. The cubic root of 2143422400 is about 1289.3453401594.

Adding to 2143422400 its reverse (42243412), we get a palindrome (2185665812).

It can be divided in two parts, 21434 and 22400, that added together give a palindrome (43834).

The spelling of 2143422400 in words is "two billion, one hundred forty-three million, four hundred twenty-two thousand, four hundred".