Search a number
-
+
248223738 = 23759109919
BaseRepresentation
bin11101100101110…
…01011111111010
3122022002001221210
432302321133322
51002021124423
640344143550
76102603240
oct1662713772
9568061853
10248223738
11118130194
126b167bb6
133c570069
1424d76790
1516bd2b93
hexecb97fa

248223738 has 64 divisors (see below), whose sum is σ = 582912000. Its totient is φ = 69004224.

The previous prime is 248223737. The next prime is 248223757. The reversal of 248223738 is 837322842.

It is a junction number, because it is equal to n+sod(n) for n = 248223696 and 248223705.

It is not an unprimeable number, because it can be changed into a prime (248223737) 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 in 31 ways as a sum of consecutive naturals, for example, 269643 + ... + 270561.

It is an arithmetic number, because the mean of its divisors is an integer number (9108000).

Almost surely, 2248223738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248223738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291456000).

248223738 is an abundant number, since it is smaller than the sum of its proper divisors (334688262).

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

248223738 is a wasteful number, since it uses less digits than its factorization.

248223738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099.

The product of its digits is 129024, while the sum is 39.

The square root of 248223738 is about 15755.1178351671. The cubic root of 248223738 is about 628.4650108461.

The spelling of 248223738 in words is "two hundred forty-eight million, two hundred twenty-three thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 59 109 118 177 218 327 354 413 654 763 826 919 1239 1526 1838 2289 2478 2757 4578 5514 6431 6433 12862 12866 19293 19299 38586 38598 45017 54221 90034 100171 108442 135051 162663 200342 270102 300513 325326 379547 601026 701197 759094 1138641 1402394 2103591 2277282 4207182 5910089 11820178 17730267 35460534 41370623 82741246 124111869 248223738