Search a number
-
+
313201224 = 23327621431
BaseRepresentation
bin10010101010110…
…001001001001000
3210211100021022100
4102222301021020
51120134414344
651024553400
710522111050
oct2252611110
9724307270
10313201224
11150880796
1288a82860
134cb7078b
142d84c560
151c76a569
hex12ab1248

313201224 has 48 divisors (see below), whose sum is σ = 969433920. Its totient is φ = 89485920.

The previous prime is 313201223. The next prime is 313201237. The reversal of 313201224 is 422102313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313201197 and 313201206.

It is not an unprimeable number, because it can be changed into a prime (313201223) 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 11 ways as a sum of consecutive naturals, for example, 310212 + ... + 311219.

It is an arithmetic number, because the mean of its divisors is an integer number (20196540).

Almost surely, 2313201224 is an apocalyptic number.

It is an amenable number.

313201224 is an abundant number, since it is smaller than the sum of its proper divisors (656232696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313201224 is a wasteful number, since it uses less digits than its factorization.

313201224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621450 (or 621443 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 313201224 is about 17697.4920257080. The cubic root of 313201224 is about 679.1116022419. Note that the first 3 decimals are identical.

Adding to 313201224 its reverse (422102313), we get a palindrome (735303537).

The spelling of 313201224 in words is "three hundred thirteen million, two hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 621431 1242862 1864293 2485724 3728586 4350017 4971448 5592879 7457172 8700034 11185758 13050051 14914344 17400068 22371516 26100102 34800136 39150153 44743032 52200204 78300306 104400408 156600612 313201224