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14227200 = 2832521319
BaseRepresentation
bin110110010001…
…011100000000
3222202211001100
4312101130000
512120232300
61224534400
7231633501
oct66213400
928684040
1014227200
118038119
124921400
132c41980
141c64ba8
1513b0700
hexd91700

14227200 has 324 divisors, whose sum is σ = 57661240. Its totient is φ = 3317760.

The previous prime is 14227153. The next prime is 14227207. The reversal of 14227200 is 272241.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14227207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748791 + ... + 748809.

Almost surely, 214227200 is an apocalyptic number.

14227200 is a gapful number since it is divisible by the number (10) 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 14227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28830620).

14227200 is an abundant number, since it is smaller than the sum of its proper divisors (43434040).

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

14227200 is a wasteful number, since it uses less digits than its factorization.

14227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 14227200 is about 3771.8960749204. The cubic root of 14227200 is about 242.3110087342.

Adding to 14227200 its reverse (272241), we get a palindrome (14499441).

The spelling of 14227200 in words is "fourteen million, two hundred twenty-seven thousand, two hundred".