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4223214000 = 243253231012
BaseRepresentation
bin1111101110111001…
…0010000110110000
3101220022201111111100
43323232102012300
532122120322000
61535022044400
7206440504155
oct37356220660
911808644440
104223214000
111877992205
1299a419700
13523c45cc5
142c0c5a22c
1519ab67a00
hexfbb921b0

4223214000 has 360 divisors, whose sum is σ = 15545496096. Its totient is φ = 1066560000.

The previous prime is 4223213989. The next prime is 4223214007. The reversal of 4223214000 is 4123224.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4223214007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41813950 + ... + 41814050.

Almost surely, 24223214000 is an apocalyptic number.

4223214000 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 4223214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772748048).

4223214000 is an abundant number, since it is smaller than the sum of its proper divisors (11322282096).

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

4223214000 is a wasteful number, since it uses less digits than its factorization.

4223214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 134 counting only the distinct ones).

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

The square root of 4223214000 is about 64986.2600862675. The cubic root of 4223214000 is about 1616.3957364150.

Adding to 4223214000 its reverse (4123224), we get a palindrome (4227337224).

The spelling of 4223214000 in words is "four billion, two hundred twenty-three million, two hundred fourteen thousand".