22150800 has 240 divisors, whose sum is σ = 90410880. Its totient is φ = 5045760.

The previous prime is 22150781. The next prime is 22150801. The reversal of 22150800 is 805122.

It is a tau number, because it is divible by the number of its divisors (240).

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 (22150801) 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 47 ways as a sum of consecutive naturals, for example, 75454 + ... + 75746.

It is an arithmetic number, because the mean of its divisors is an integer number (376712).

Almost surely, 2^22150800 is an apocalyptic number.

22150800 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 22150800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45205440).

22150800 is an abundant number, since it is smaller than the sum of its proper divisors (68260080).

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

22150800 is a wasteful number, since it uses less digits than its factorization.

22150800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 22150800 is about 4706.4636405692. The cubic root of 22150800 is about 280.8426993289.

Adding to 22150800 its reverse (805122), we get a palindrome (22955922).

The spelling of 22150800 in words is "twenty-two million, one hundred fifty thousand, eight hundred".