4222084800 has 168 divisors, whose sum is σ = 14226932176. Its totient is φ = 1095413760.

The previous prime is 4222084787. The next prime is 4222084847. The reversal of 4222084800 is 84802224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165714 + ... + 189486.

Almost surely, 2^4222084800 is an apocalyptic number.

4222084800 is a gapful number since it is divisible by the number (40) 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 4222084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113466088).

4222084800 is an abundant number, since it is smaller than the sum of its proper divisors (10004847376).

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

4222084800 is a wasteful number, since it uses less digits than its factorization.

4222084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23835 (or 23820 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 4222084800 is about 64977.5715151005. The cubic root of 4222084800 is about 1616.2516599867.

The spelling of 4222084800 in words is "four billion, two hundred twenty-two million, eighty-four thousand, eight hundred".