Search a number
-
+
278233 is a prime number
BaseRepresentation
bin1000011111011011001
3112010122221
41003323121
532400413
65544041
72236114
oct1037331
9463587
10278233
1118004a
12115021
1399847
147357b
155768d
hex43ed9

278233 has 2 divisors, whose sum is σ = 278234. Its totient is φ = 278232.

The previous prime is 278227. The next prime is 278237. The reversal of 278233 is 332872.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 233289 + 44944 = 483^2 + 212^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-278233 is a prime.

278233 is a lucky number.

It is equal to p24298 and since 278233 and 24298 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 278198 and 278207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (278237) 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, 139116 + 139117.

It is an arithmetic number, because the mean of its divisors is an integer number (139117).

2278233 is an apocalyptic number.

It is an amenable number.

278233 is a deficient number, since it is larger than the sum of its proper divisors (1).

278233 is an equidigital number, since it uses as much as digits as its factorization.

278233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 25.

The square root of 278233 is about 527.4779616249. The cubic root of 278233 is about 65.2834172617.

It can be divided in two parts, 2782 and 33, that multiplied together give a triangular number (91806 = T428).

The spelling of 278233 in words is "two hundred seventy-eight thousand, two hundred thirty-three".