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268122162 = 237113197193
BaseRepresentation
bin11111111101100…
…11100000110010
3200200112000110110
433332303200302
51022114402122
642334442150
76434000160
oct1776634062
9620460413
10268122162
11128391170
1275963356
1343719189
1427876230
151881390c
hexffb3832

268122162 has 128 divisors (see below), whose sum is σ = 700858368. Its totient is φ = 66355200.

The previous prime is 268122161. The next prime is 268122163. The reversal of 268122162 is 261221862.

It is an interprime number because it is at equal distance from previous prime (268122161) and next prime (268122163).

It is not an unprimeable number, because it can be changed into a prime (268122161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1389138 + ... + 1389330.

It is an arithmetic number, because the mean of its divisors is an integer number (5475456).

Almost surely, 2268122162 is an apocalyptic number.

268122162 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 268122162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350429184).

268122162 is an abundant number, since it is smaller than the sum of its proper divisors (432736206).

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

268122162 is a wasteful number, since it uses less digits than its factorization.

268122162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344.

The product of its digits is 4608, while the sum is 30.

The square root of 268122162 is about 16374.4362345700. The cubic root of 268122162 is about 644.8285200053.

The spelling of 268122162 in words is "two hundred sixty-eight million, one hundred twenty-two thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 97 154 186 193 194 217 231 291 341 386 434 462 579 582 651 679 682 1023 1067 1158 1302 1351 1358 2037 2046 2123 2134 2387 2702 3007 3201 4053 4074 4246 4774 5983 6014 6369 6402 7161 7469 8106 9021 11966 12738 14322 14861 14938 17949 18042 18721 21049 22407 29722 33077 35898 37442 41881 42098 44583 44814 56163 63147 65813 66154 83762 89166 99231 112326 125643 126294 131047 131626 197439 198462 205931 231539 251286 262094 393141 394878 411862 460691 463078 580351 617793 694617 786282 921382 1160702 1235586 1382073 1389234 1441517 1741053 2764146 2883034 3482106 4062457 4324551 6383861 8124914 8649102 12187371 12767722 19151583 24374742 38303166 44687027 89374054 134061081 268122162