Search a number
-
+
312223 = 4353137
BaseRepresentation
bin1001100001110011111
3120212021211
41030032133
534442343
610405251
72440162
oct1141637
9525254
10312223
111a363a
12130827
13ac162
1481ad9
156279d
hex4c39f

312223 has 8 divisors (see below), whose sum is σ = 327888. Its totient is φ = 297024.

The previous prime is 312217. The next prime is 312229. The reversal of 312223 is 322213.

Adding to 312223 its reverse (322213), we get a palindrome (634436).

It can be divided in two parts, 312 and 223, that added together give a palindrome (535).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312217) and next prime (312229).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312223 - 29 = 311711 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312229) 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 in 7 ways as a sum of consecutive naturals, for example, 2211 + ... + 2347.

It is an arithmetic number, because the mean of its divisors is an integer number (40986).

2312223 is an apocalyptic number.

312223 is a deficient number, since it is larger than the sum of its proper divisors (15665).

312223 is a wasteful number, since it uses less digits than its factorization.

312223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233.

The product of its digits is 72, while the sum is 13.

The square root of 312223 is about 558.7691831159. The cubic root of 312223 is about 67.8403839896.

The spelling of 312223 in words is "three hundred twelve thousand, two hundred twenty-three", and thus it is an iban number.

Divisors: 1 43 53 137 2279 5891 7261 312223