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220057 is a prime number
BaseRepresentation
bin110101101110011001
3102011212021
4311232121
524020212
64414441
71604365
oct655631
9364767
10220057
11140372
12a7421
1379216
145a2a5
1545307
hex35b99

220057 has 2 divisors, whose sum is σ = 220058. Its totient is φ = 220056.

The previous prime is 220021. The next prime is 220063. The reversal of 220057 is 750022.

It is a happy number.

220057 is nontrivially palindromic in base 14.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215296 + 4761 = 464^2 + 69^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220057 is a prime.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 220057.

It is not a weakly prime, because it can be changed into another prime (220357) 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 as a sum of consecutive naturals, namely, 110028 + 110029.

It is an arithmetic number, because the mean of its divisors is an integer number (110029).

2220057 is an apocalyptic number.

It is an amenable number.

220057 is a deficient number, since it is larger than the sum of its proper divisors (1).

220057 is an equidigital number, since it uses as much as digits as its factorization.

220057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 220057 is about 469.1023342513. The cubic root of 220057 is about 60.3733205270.

Adding to 220057 its reverse (750022), we get a palindrome (970079).

The spelling of 220057 in words is "two hundred twenty thousand, fifty-seven".