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268224 = 26311127
BaseRepresentation
bin1000001011111000000
3111121221020
41001133000
532040344
65425440
72164665
oct1013700
9447836
10268224
11173580
1210b280
1395118
146da6c
1554719
hex417c0

268224 has 56 divisors (see below), whose sum is σ = 780288. Its totient is φ = 80640.

The previous prime is 268211. The next prime is 268237. The reversal of 268224 is 422862.

It is an interprime number because it is at equal distance from previous prime (268211) and next prime (268237).

It is a super-2 number, since 2×2682242 = 143888228352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 268194 and 268203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2049 + ... + 2175.

2268224 is an apocalyptic number.

268224 is a gapful number since it is divisible by the number (24) 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 268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390144).

268224 is an abundant number, since it is smaller than the sum of its proper divisors (512064).

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

268224 is a wasteful number, since it uses less digits than its factorization.

268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

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

The square root of 268224 is about 517.9034659085. The cubic root of 268224 is about 64.4910149133.

The spelling of 268224 in words is "two hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 132 176 192 254 264 352 381 508 528 704 762 1016 1056 1397 1524 2032 2112 2794 3048 4064 4191 5588 6096 8128 8382 11176 12192 16764 22352 24384 33528 44704 67056 89408 134112 268224