220730448 has 160 divisors (see below), whose sum is σ = 664243200. Its totient is φ = 62650368.

The previous prime is 220730443. The next prime is 220730459. The reversal of 220730448 is 844037022.

It is a Cunningham number, because it is equal to 14857²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220730443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356283 + ... + 356901.

It is an arithmetic number, because the mean of its divisors is an integer number (4151520).

Almost surely, 2^220730448 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 220730448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332121600).

220730448 is an abundant number, since it is smaller than the sum of its proper divisors (443512752).

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

220730448 is a wasteful number, since it uses less digits than its factorization.

220730448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 220730448 is about 14856.9999663458. Note that the first 4 decimals coincide. The cubic root of 220730448 is about 604.3484532342.

The spelling of 220730448 in words is "two hundred twenty million, seven hundred thirty thousand, four hundred forty-eight".