22144000 has 88 divisors (see below), whose sum is σ = 55563768. Its totient is φ = 8806400.

The previous prime is 22143997. The next prime is 22144007. The reversal of 22144000 is 44122.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 22127616 = 128^2 + 4704^2 .

It is not an unprimeable number, because it can be changed into a prime (22144007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127914 + ... + 128086.

Almost surely, 2^22144000 is an apocalyptic number.

22144000 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 22144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27781884).

22144000 is an abundant number, since it is smaller than the sum of its proper divisors (33419768).

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

22144000 is an equidigital number, since it uses as much as digits as its factorization.

22144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 22144000 is about 4705.7411743529. The cubic root of 22144000 is about 280.8139580673.

Adding to 22144000 its reverse (44122), we get a palindrome (22188122).

The spelling of 22144000 in words is "twenty-two million, one hundred forty-four thousand".