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245168 = 24711199
BaseRepresentation
bin111011110110110000
3110110022022
4323312300
530321133
65131012
72040530
oct736660
9413268
10245168
11158220
12b9a68
1387791
14654c0
154c998
hex3bdb0

245168 has 40 divisors (see below), whose sum is σ = 595200. Its totient is φ = 95040.

The previous prime is 245149. The next prime is 245171. The reversal of 245168 is 861542.

245168 = T167 + T168 + ... + T182.

245168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

245168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1133 + ... + 1331.

It is an arithmetic number, because the mean of its divisors is an integer number (14880).

2245168 is an apocalyptic number.

245168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297600).

245168 is an abundant number, since it is smaller than the sum of its proper divisors (350032).

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

245168 is a wasteful number, since it uses less digits than its factorization.

245168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 245168 is about 495.1444233756. The cubic root of 245168 is about 62.5875466454.

The spelling of 245168 in words is "two hundred forty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 199 308 398 616 796 1232 1393 1592 2189 2786 3184 4378 5572 8756 11144 15323 17512 22288 30646 35024 61292 122584 245168