22135440 has 80 divisors (see below), whose sum is σ = 69192000. Its totient is φ = 5853696.

The previous prime is 22135433. The next prime is 22135441. The reversal of 22135440 is 4453122.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (22135441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35451 + ... + 36069.

It is an arithmetic number, because the mean of its divisors is an integer number (864900).

Almost surely, 2^22135440 is an apocalyptic number.

22135440 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 22135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34596000).

22135440 is an abundant number, since it is smaller than the sum of its proper divisors (47056560).

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

22135440 is a wasteful number, since it uses less digits than its factorization.

22135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 22135440 is about 4704.8315591528. The cubic root of 22135440 is about 280.7777695244. Note that the first 4 decimals are identical.

Adding to 22135440 its reverse (4453122), we get a palindrome (26588562).

The spelling of 22135440 in words is "twenty-two million, one hundred thirty-five thousand, four hundred forty".