22506540 has 96 divisors (see below), whose sum is σ = 73833984. Its totient is φ = 5015040.

The previous prime is 22506511. The next prime is 22506541. The reversal of 22506540 is 4560522.

It is a self number, because there is not a number n which added to its sum of digits gives 22506540.

It is not an unprimeable number, because it can be changed into a prime (22506541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16567 + ... + 17873.

It is an arithmetic number, because the mean of its divisors is an integer number (769104).

Almost surely, 2^22506540 is an apocalyptic number.

22506540 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 22506540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36916992).

22506540 is an abundant number, since it is smaller than the sum of its proper divisors (51327444).

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

22506540 is a wasteful number, since it uses less digits than its factorization.

22506540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 22506540 is about 4744.1058166951. The cubic root of 22506540 is about 282.3381587951.

The spelling of 22506540 in words is "twenty-two million, five hundred six thousand, five hundred forty".