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2268024 = 23311371
BaseRepresentation
bin1000101001101101111000
311021020010220
420221231320
51040034044
6120340040
725164213
oct10515570
94236126
102268024
11130a000
12914620
13615435
1443077a
152ec019
hex229b78

2268024 has 64 divisors (see below), whose sum is σ = 6324480. Its totient is φ = 677600.

The previous prime is 2268001. The next prime is 2268031. The reversal of 2268024 is 4208622.

2268024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2267985 and 2268003.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 31909 + ... + 31979.

It is an arithmetic number, because the mean of its divisors is an integer number (98820).

22268024 is an apocalyptic number.

2268024 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 2268024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162240).

2268024 is an abundant number, since it is smaller than the sum of its proper divisors (4056456).

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

2268024 is a wasteful number, since it uses less digits than its factorization.

2268024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

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

The square root of 2268024 is about 1505.9960159310. The cubic root of 2268024 is about 131.3860376362.

The spelling of 2268024 in words is "two million, two hundred sixty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 121 132 142 213 242 264 284 363 426 484 568 726 781 852 968 1331 1452 1562 1704 2343 2662 2904 3124 3993 4686 5324 6248 7986 8591 9372 10648 15972 17182 18744 25773 31944 34364 51546 68728 94501 103092 189002 206184 283503 378004 567006 756008 1134012 2268024