6229200 has 120 divisors (see below), whose sum is σ = 20757600. Its totient is φ = 1594880.

The previous prime is 6229193. The next prime is 6229213. The reversal of 6229200 is 29226.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34711 + ... + 34889.

It is an arithmetic number, because the mean of its divisors is an integer number (172980).

Almost surely, 2^6229200 is an apocalyptic number.

6229200 is a gapful number since it is divisible by the number (60) 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 6229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378800).

6229200 is an abundant number, since it is smaller than the sum of its proper divisors (14528400).

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

6229200 is a wasteful number, since it uses less digits than its factorization.

6229200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 6229200 is about 2495.8365331087. The cubic root of 6229200 is about 183.9970068826.

The spelling of 6229200 in words is "six million, two hundred twenty-nine thousand, two hundred".