6205225200 has 240 divisors, whose sum is σ = 21835150080. Its totient is φ = 1499351040.

The previous prime is 6205225189. The next prime is 6205225241. The reversal of 6205225200 is 25225026.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518484 + ... + 530316.

It is an arithmetic number, because the mean of its divisors is an integer number (90979792).

Almost surely, 2^6205225200 is an apocalyptic number.

6205225200 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 6205225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10917575040).

6205225200 is an abundant number, since it is smaller than the sum of its proper divisors (15629924880).

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

6205225200 is a wasteful number, since it uses less digits than its factorization.

6205225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11896 (or 11885 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 6205225200 is about 78773.2518054193. The cubic root of 6205225200 is about 1837.6064892702.

The spelling of 6205225200 in words is "six billion, two hundred five million, two hundred twenty-five thousand, two hundred".