22405320 has 192 divisors, whose sum is σ = 88283520. Its totient is φ = 4810752.

The previous prime is 22405307. The next prime is 22405321. The reversal of 22405320 is 2350422.

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

It is a junction number, because it is equal to n+sod(n) for n = 22405293 and 22405302.

It is not an unprimeable number, because it can be changed into a prime (22405321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42579 + ... + 43101.

It is an arithmetic number, because the mean of its divisors is an integer number (459810).

Almost surely, 2^22405320 is an apocalyptic number.

22405320 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 22405320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44141760).

22405320 is an abundant number, since it is smaller than the sum of its proper divisors (65878200).

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

22405320 is a wasteful number, since it uses less digits than its factorization.

22405320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22405320 is about 4733.4258206927. The cubic root of 22405320 is about 281.9142639621.

Adding to 22405320 its reverse (2350422), we get a palindrome (24755742).

The spelling of 22405320 in words is "twenty-two million, four hundred five thousand, three hundred twenty".