22406500 has 48 divisors (see below), whose sum is σ = 50175216. Its totient is φ = 8736000.

The previous prime is 22406479. The next prime is 22406509. The reversal of 22406500 is 560422.

It can be written as a sum of positive squares in 8 ways, for example, as 6230016 + 16176484 = 2496^2 + 4022^2 .

It is not an unprimeable number, because it can be changed into a prime (22406509) 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 15 ways as a sum of consecutive naturals, for example, 19954 + ... + 21046.

It is an arithmetic number, because the mean of its divisors is an integer number (1045317).

Almost surely, 2^22406500 is an apocalyptic number.

22406500 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 22406500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25087608).

22406500 is an abundant number, since it is smaller than the sum of its proper divisors (27768716).

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

22406500 is a wasteful number, since it uses less digits than its factorization.

22406500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 22406500 is about 4733.5504645034. The cubic root of 22406500 is about 281.9192129800.

Adding to 22406500 its reverse (560422), we get a palindrome (22966922).

The spelling of 22406500 in words is "twenty-two million, four hundred six thousand, five hundred".