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2268468 = 2232611033
BaseRepresentation
bin1000101001110100110100
311021020202100
420221310310
51040042333
6120342100
725165416
oct10516464
94236670
102268468
11130a374
12914930
136156b7
144309b6
152ec213
hex229d34

2268468 has 36 divisors (see below), whose sum is σ = 5833828. Its totient is φ = 743040.

The previous prime is 2268451. The next prime is 2268481. The reversal of 2268468 is 8648622.

It can be written as a sum of positive squares in 2 ways, for example, as 1127844 + 1140624 = 1062^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 211 + 217 + 62 + 85 + 46 + 64 + 87 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1680 + ... + 2712.

22268468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916914).

2268468 is an abundant number, since it is smaller than the sum of its proper divisors (3565360).

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

2268468 is a wasteful number, since it uses less digits than its factorization.

2268468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1099 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2268468 is about 1506.1434194658. The cubic root of 2268468 is about 131.3946106781.

The spelling of 2268468 in words is "two million, two hundred sixty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1033 1098 2066 2196 3099 4132 6198 9297 12396 18594 37188 63013 126026 189039 252052 378078 567117 756156 1134234 2268468