220800257 has 2 divisors, whose sum is σ = 220800258. Its totient is φ = 220800256.

The previous prime is 220800191. The next prime is 220800263. The reversal of 220800257 is 752008022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217828081 + 2972176 = 14759^2 + 1724^2 .

It is a cyclic number.

It is not a de Polignac number, because 220800257 - 2⁸ = 220800001 is a prime.

It is not a weakly prime, because it can be changed into another prime (220800277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110400128 + 110400129.

It is an arithmetic number, because the mean of its divisors is an integer number (110400129).

Almost surely, 2^220800257 is an apocalyptic number.

It is an amenable number.

220800257 is a deficient number, since it is larger than the sum of its proper divisors (1).

220800257 is an equidigital number, since it uses as much as digits as its factorization.

220800257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 220800257 is about 14859.3491445622. The cubic root of 220800257 is about 604.4121576525.

Adding to 220800257 its reverse (752008022), we get a palindrome (972808279).

The spelling of 220800257 in words is "two hundred twenty million, eight hundred thousand, two hundred fifty-seven".