6225288900 has 72 divisors (see below), whose sum is σ = 18080551104. Its totient is φ = 1653744000.

The previous prime is 6225288899. The next prime is 6225288913. The reversal of 6225288900 is 98825226.

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 23 ways as a sum of consecutive naturals, for example, 39450 + ... + 118350.

Almost surely, 2^6225288900 is an apocalyptic number.

6225288900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 78900×78901.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6225288900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9040275552).

6225288900 is an abundant number, since it is smaller than the sum of its proper divisors (11855262204).

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

6225288900 is a wasteful number, since it uses less digits than its factorization.

6225288900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79181 (or 79174 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 6225288900 is about 78900.4999984157. The cubic root of 6225288900 is about 1839.5849036062.

The spelling of 6225288900 in words is "six billion, two hundred twenty-five million, two hundred eighty-eight thousand, nine hundred".