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220933 is a prime number
BaseRepresentation
bin110101111100000101
3102020001201
4311330011
524032213
64422501
71610056
oct657405
9366051
10220933
11140a99
12a7a31
137973b
145a72d
15456dd
hex35f05

220933 has 2 divisors, whose sum is σ = 220934. Its totient is φ = 220932.

The previous prime is 220931. The next prime is 220939. The reversal of 220933 is 339022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178084 + 42849 = 422^2 + 207^2 .

It is a cyclic number.

It is not a de Polignac number, because 220933 - 21 = 220931 is a prime.

It is a super-2 number, since 2×2209332 = 97622780978, which contains 22 as substring.

Together with 220931, it forms a pair of twin primes.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 220933.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110466 + 110467.

It is an arithmetic number, because the mean of its divisors is an integer number (110467).

2220933 is an apocalyptic number.

It is an amenable number.

220933 is a deficient number, since it is larger than the sum of its proper divisors (1).

220933 is an equidigital number, since it uses as much as digits as its factorization.

220933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 220933 is about 470.0351050720. The cubic root of 220933 is about 60.4533255655.

Adding to 220933 its reverse (339022), we get a palindrome (559955).

The spelling of 220933 in words is "two hundred twenty thousand, nine hundred thirty-three".