22405220 has 48 divisors (see below), whose sum is σ = 50077440. Its totient is φ = 8401536.

The previous prime is 22405217. The next prime is 22405223. The reversal of 22405220 is 2250422.

It is an interprime number because it is at equal distance from previous prime (22405217) and next prime (22405223).

It is not an unprimeable number, because it can be changed into a prime (22405223) 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 15 ways as a sum of consecutive naturals, for example, 23921 + ... + 24839.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 2^22405220 is an apocalyptic number.

22405220 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 22405220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

22405220 is an abundant number, since it is smaller than the sum of its proper divisors (27672220).

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

22405220 is a wasteful number, since it uses less digits than its factorization.

22405220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 22405220 is about 4733.4152575070. The cubic root of 22405220 is about 281.9138445458.

Adding to 22405220 its reverse (2250422), we get a palindrome (24655642).

The spelling of 22405220 in words is "twenty-two million, four hundred five thousand, two hundred twenty".