4222032000 has 128 divisors (see below), whose sum is σ = 13996195200. Its totient is φ = 1125862400.

The previous prime is 4222031999. The next prime is 4222032029. The reversal of 4222032000 is 2302224.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4021 + ... + 91979.

It is an arithmetic number, because the mean of its divisors is an integer number (109345275).

Almost surely, 2^4222032000 is an apocalyptic number.

4222032000 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 4222032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6998097600).

4222032000 is an abundant number, since it is smaller than the sum of its proper divisors (9774163200).

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

4222032000 is an equidigital number, since it uses as much as digits as its factorization.

4222032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87991 (or 87969 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4222032000 is about 64977.1652197909. The cubic root of 4222032000 is about 1616.2449225219.

Adding to 4222032000 its reverse (2302224), we get a palindrome (4224334224).

The spelling of 4222032000 in words is "four billion, two hundred twenty-two million, thirty-two thousand".