Search a number
-
+
68113224 = 2334257409
BaseRepresentation
bin1000000111101…
…01001101001000
311202011111210000
410003311031020
5114414110344
610431523000
71454644554
oct403651510
9152144700
1068113224
11354a2523
121a989460
131115aaaa
149090864
155ea6a69
hex40f5348

68113224 has 80 divisors (see below), whose sum is σ = 191990700. Its totient is φ = 22560768.

The previous prime is 68113223. The next prime is 68113261. The reversal of 68113224 is 42231186.

It can be written as a sum of positive squares in 2 ways, for example, as 48024900 + 20088324 = 6930^2 + 4482^2 .

It is a super-2 number, since 2×681132242 = 9278822567348352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (68113223) 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 19 ways as a sum of consecutive naturals, for example, 166332 + ... + 166740.

Almost surely, 268113224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68113224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95995350).

68113224 is an abundant number, since it is smaller than the sum of its proper divisors (123877476).

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

68113224 is a wasteful number, since it uses less digits than its factorization.

68113224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 671 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 68113224 is about 8253.0736092682. The cubic root of 68113224 is about 408.3919244353.

The spelling of 68113224 in words is "sixty-eight million, one hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 257 324 409 514 648 771 818 1028 1227 1542 1636 2056 2313 2454 3084 3272 3681 4626 4908 6168 6939 7362 9252 9816 11043 13878 14724 18504 20817 22086 27756 29448 33129 41634 44172 55512 66258 83268 88344 105113 132516 166536 210226 265032 315339 420452 630678 840904 946017 1261356 1892034 2522712 2838051 3784068 5676102 7568136 8514153 11352204 17028306 22704408 34056612 68113224