6228000 has 144 divisors (see below), whose sum is σ = 22230936. Its totient is φ = 1651200.

The previous prime is 6227999. The next prime is 6228007. The reversal of 6228000 is 8226.

It can be written as a sum of positive squares in 4 ways, for example, as 3283344 + 2944656 = 1812^2 + 1716^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (6228007) 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, 35914 + ... + 36086.

Almost surely, 2^6228000 is an apocalyptic number.

6228000 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 6228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11115468).

6228000 is an abundant number, since it is smaller than the sum of its proper divisors (16002936).

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

6228000 is a wasteful number, since it uses less digits than its factorization.

6228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6228000 is about 2495.5961211703. The cubic root of 6228000 is about 183.9851909947.

The spelling of 6228000 in words is "six million, two hundred twenty-eight thousand".