Search a number
-
+
220457981 is a prime number
BaseRepresentation
bin11010010001111…
…10101111111101
3120100211102111102
431020332233331
5422414123411
633513102445
75314601432
oct1510765775
9510742442
10220457981
11103496387
12619b7a25
133689b013
14213c9b89
151454ad3b
hexd23ebfd

220457981 has 2 divisors, whose sum is σ = 220457982. Its totient is φ = 220457980.

The previous prime is 220457977. The next prime is 220457983. The reversal of 220457981 is 189754022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217090756 + 3367225 = 14734^2 + 1835^2 .

It is a cyclic number.

It is not a de Polignac number, because 220457981 - 22 = 220457977 is a prime.

It is a super-2 number, since 2×2204579812 = 97203442773192722, which contains 22 as substring.

Together with 220457983, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220457983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110228990 + 110228991.

It is an arithmetic number, because the mean of its divisors is an integer number (110228991).

Almost surely, 2220457981 is an apocalyptic number.

It is an amenable number.

220457981 is a deficient number, since it is larger than the sum of its proper divisors (1).

220457981 is an equidigital number, since it uses as much as digits as its factorization.

220457981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 220457981 is about 14847.8274841810. The cubic root of 220457981 is about 604.0996840355.

The spelling of 220457981 in words is "two hundred twenty million, four hundred fifty-seven thousand, nine hundred eighty-one".