22215600 has 360 divisors, whose sum is σ = 92025360. Its totient is φ = 5068800.

The previous prime is 22215587. The next prime is 22215607. The reversal of 22215600 is 651222.

It is a tau number, because it is divible by the number of its divisors (360).

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 (22215607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1306792 + ... + 1306808.

It is an arithmetic number, because the mean of its divisors is an integer number (255626).

Almost surely, 2^22215600 is an apocalyptic number.

22215600 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 22215600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46012680).

22215600 is an abundant number, since it is smaller than the sum of its proper divisors (69809760).

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

22215600 is a wasteful number, since it uses less digits than its factorization.

22215600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 22215600 is about 4713.3427628383. The cubic root of 22215600 is about 281.1162920000.

Adding to 22215600 its reverse (651222), we get a palindrome (22866822).

The spelling of 22215600 in words is "twenty-two million, two hundred fifteen thousand, six hundred".