6227200 has 108 divisors (see below), whose sum is σ = 17741920. Its totient is φ = 2119680.

The previous prime is 6227189. The next prime is 6227201. The reversal of 6227200 is 27226.

It is a happy number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6227201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44731 + ... + 44869.

Almost surely, 2^6227200 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 6227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870960).

6227200 is an abundant number, since it is smaller than the sum of its proper divisors (11514720).

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

6227200 is a wasteful number, since it uses less digits than its factorization.

6227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 6227200 is about 2495.4358336772. The cubic root of 6227200 is about 183.9773128928.

The spelling of 6227200 in words is "six million, two hundred twenty-seven thousand, two hundred".