220893750 has 384 divisors, whose sum is σ = 809948160. Its totient is φ = 43200000.

The previous prime is 220893721. The next prime is 220893797. The reversal of 220893750 is 57398022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 12993742 + ... + 12993758.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2^220893750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220893750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404974080).

220893750 is an abundant number, since it is smaller than the sum of its proper divisors (589054410).

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

220893750 is a wasteful number, since it uses less digits than its factorization.

220893750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 220893750 is about 14862.4947434810. The cubic root of 220893750 is about 604.4974539481.

The spelling of 220893750 in words is "two hundred twenty million, eight hundred ninety-three thousand, seven hundred fifty".