22276800 has 504 divisors, whose sum is σ = 103180896. Its totient is φ = 4423680.

The previous prime is 22276799. The next prime is 22276819. The reversal of 22276800 is 867222.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1310392 + ... + 1310408.

It is an arithmetic number, because the mean of its divisors is an integer number (204724).

Almost surely, 2^22276800 is an apocalyptic number.

22276800 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 22276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51590448).

22276800 is an abundant number, since it is smaller than the sum of its proper divisors (80904096).

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

22276800 is a wasteful number, since it uses less digits than its factorization.

22276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 22276800 is about 4719.8305054313. The cubic root of 22276800 is about 281.3741969997.

The spelling of 22276800 in words is "twenty-two million, two hundred seventy-six thousand, eight hundred".