22404240 has 180 divisors, whose sum is σ = 80030964. Its totient is φ = 5612544.

The previous prime is 22404233. The next prime is 22404241. The reversal of 22404240 is 4240422.

22404240 is a `hidden beast` number, since 2 + 240 + 424 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 725904 + 21678336 = 852^2 + 4656^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (22404241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 605502 + ... + 605538.

Almost surely, 2^22404240 is an apocalyptic number.

22404240 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 22404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40015482).

22404240 is an abundant number, since it is smaller than the sum of its proper divisors (57626724).

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

22404240 is a wasteful number, since it uses less digits than its factorization.

22404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 22404240 is about 4733.3117370399. The cubic root of 22404240 is about 281.9097342002.

Adding to 22404240 its reverse (4240422), we get a palindrome (26644662).

The spelling of 22404240 in words is "twenty-two million, four hundred four thousand, two hundred forty".