6221828000 has 96 divisors (see below), whose sum is σ = 15317881488. Its totient is φ = 2483712000.

The previous prime is 6221827987. The next prime is 6221828059. The reversal of 6221828000 is 8281226.

It can be written as a sum of positive squares in 8 ways, for example, as 1461379984 + 4760448016 = 38228^2 + 68996^2 .

It is a super-2 number, since 2×6221828000² = 77422287323168000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2466740 + ... + 2469260.

Almost surely, 2^6221828000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6221828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7658940744).

6221828000 is an abundant number, since it is smaller than the sum of its proper divisors (9096053488).

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

6221828000 is a wasteful number, since it uses less digits than its factorization.

6221828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 6221828000 is about 78878.5648956673. The cubic root of 6221828000 is about 1839.2439395330.

The spelling of 6221828000 in words is "six billion, two hundred twenty-one million, eight hundred twenty-eight thousand".