6225044100 has 288 divisors, whose sum is σ = 20908661760. Its totient is φ = 1414080000.

The previous prime is 6225044087. The next prime is 6225044107. The reversal of 6225044100 is 14405226.

It is not an unprimeable number, because it can be changed into a prime (6225044107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6332209 + ... + 6333191.

It is an arithmetic number, because the mean of its divisors is an integer number (72599520).

Almost surely, 2^6225044100 is an apocalyptic number.

6225044100 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 6225044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10454330880).

6225044100 is an abundant number, since it is smaller than the sum of its proper divisors (14683617660).

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

6225044100 is a wasteful number, since it uses less digits than its factorization.

6225044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 6225044100 is about 78898.9486621970. The cubic root of 6225044100 is about 1839.5607903324.

Adding to 6225044100 its reverse (14405226), we get a palindrome (6239449326).

The spelling of 6225044100 in words is "six billion, two hundred twenty-five million, forty-four thousand, one hundred".