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268422 = 23721183
BaseRepresentation
bin1000001100010000110
3111122012120
41001202012
532042142
65430410
72165400
oct1014206
9448176
10268422
11173740
1210b406
139523b
146db70
15547ec
hex41886

268422 has 48 divisors (see below), whose sum is σ = 689472. Its totient is φ = 68880.

The previous prime is 268403. The next prime is 268439. The reversal of 268422 is 224862.

It is a d-powerful number, because it can be written as 211 + 6 + 43 + 82 + 212 + 218 .

It is a junction number, because it is equal to n+sod(n) for n = 268392 and 268401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3193 + ... + 3275.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2268422 is an apocalyptic number.

268422 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 268422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736).

268422 is an abundant number, since it is smaller than the sum of its proper divisors (421050).

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

268422 is a wasteful number, since it uses less digits than its factorization.

268422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 268422 is about 518.0945859590. The cubic root of 268422 is about 64.5068798623.

It can be divided in two parts, 26 and 8422, that added together give a palindrome (8448).

The spelling of 268422 in words is "two hundred sixty-eight thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 83 98 147 154 166 231 249 294 462 498 539 581 913 1078 1162 1617 1743 1826 2739 3234 3486 4067 5478 6391 8134 12201 12782 19173 24402 38346 44737 89474 134211 268422