2022214400 has 108 divisors (see below), whose sum is σ = 5053785912. Its totient is φ = 801054720.

The previous prime is 2022214361. The next prime is 2022214427. The reversal of 2022214400 is 44122202.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 683324 + ... + 686276.

It is an arithmetic number, because the mean of its divisors is an integer number (46794314).

Almost surely, 2^2022214400 is an apocalyptic number.

2022214400 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 2022214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526892956).

2022214400 is an abundant number, since it is smaller than the sum of its proper divisors (3031571512).

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

2022214400 is a wasteful number, since it uses less digits than its factorization.

2022214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2022214400 is about 44969.0382374362. The cubic root of 2022214400 is about 1264.5686166764.

Adding to 2022214400 its reverse (44122202), we get a palindrome (2066336602).

The spelling of 2022214400 in words is "two billion, twenty-two million, two hundred fourteen thousand, four hundred".