22850208 has 96 divisors (see below), whose sum is σ = 68040000. Its totient is φ = 7458048.

The previous prime is 22850207. The next prime is 22850209. The reversal of 22850208 is 80205822.

It is an interprime number because it is at equal distance from previous prime (22850207) and next prime (22850209).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (22850203) 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, 45543 + ... + 46041.

It is an arithmetic number, because the mean of its divisors is an integer number (708750).

Almost surely, 2^22850208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22850208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34020000).

22850208 is an abundant number, since it is smaller than the sum of its proper divisors (45189792).

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

22850208 is a wasteful number, since it uses less digits than its factorization.

22850208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 22850208 is about 4780.1891175978. The cubic root of 22850208 is about 283.7679781864.

The spelling of 22850208 in words is "twenty-two million, eight hundred fifty thousand, two hundred eight".