2822232000 has 448 divisors, whose sum is σ = 10818302976. Its totient is φ = 634982400.

The previous prime is 2822231989. The next prime is 2822232053. The reversal of 2822232000 is 2322282.

2822232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17975922 + ... + 17976078.

Almost surely, 2^2822232000 is an apocalyptic number.

2822232000 is a gapful number since it is divisible by the number (20) 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 2822232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409151488).

2822232000 is an abundant number, since it is smaller than the sum of its proper divisors (7996070976).

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

2822232000 is a wasteful number, since it uses less digits than its factorization.

2822232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2822232000 is about 53124.6835284691. The cubic root of 2822232000 is about 1413.1802868175.

Adding to 2822232000 its reverse (2322282), we get a palindrome (2824554282).

The spelling of 2822232000 in words is "two billion, eight hundred twenty-two million, two hundred thirty-two thousand".