Search a number
-
+
268366122 = 2348571933
BaseRepresentation
bin11111111111011…
…11000100101010
3200200222102010000
433333233010222
51022200203442
642344003430
76436034343
oct1777570452
9620872100
10268366122
11128538492
1275a60576
13437a322b
14278db0ca
1518860d4c
hexffef12a

268366122 has 40 divisors (see below), whose sum is σ = 602352036. Its totient is φ = 89304768.

The previous prime is 268366103. The next prime is 268366123. The reversal of 268366122 is 221663862.

268366122 is a `hidden beast` number, since 2 + 6 + 8 + 36 + 612 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 237129201 + 31236921 = 15399^2 + 5589^2 .

It is not an unprimeable number, because it can be changed into a prime (268366123) 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 19 ways as a sum of consecutive naturals, for example, 137868 + ... + 139800.

Almost surely, 2268366122 is an apocalyptic number.

268366122 is an abundant number, since it is smaller than the sum of its proper divisors (333985914).

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

268366122 is a wasteful number, since it uses less digits than its factorization.

268366122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2795 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 268366122 is about 16381.8839575917. The cubic root of 268366122 is about 645.0240337178.

The spelling of 268366122 in words is "two hundred sixty-eight million, three hundred sixty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 857 1714 1933 2571 3866 5142 5799 7713 11598 15426 17397 23139 34794 46278 52191 69417 104382 138834 156573 313146 1656581 3313162 4969743 9939486 14909229 29818458 44727687 89455374 134183061 268366122