22033440 has 288 divisors, whose sum is σ = 89159616. Its totient is φ = 4884480.

The previous prime is 22033439. The next prime is 22033447. The reversal of 22033440 is 4433022.

22033440 is a `hidden beast` number, since 220 + 3 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22033447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205867 + ... + 205973.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 2^22033440 is an apocalyptic number.

22033440 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 22033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44579808).

22033440 is an abundant number, since it is smaller than the sum of its proper divisors (67126176).

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

22033440 is a wasteful number, since it uses less digits than its factorization.

22033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 22033440 is about 4693.9791222373. The cubic root of 22033440 is about 280.3458311875.

Adding to 22033440 its reverse (4433022), we get a palindrome (26466462).

The spelling of 22033440 in words is "twenty-two million, thirty-three thousand, four hundred forty".