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2282168 = 23783491
BaseRepresentation
bin1000101101001010111000
311021221112202
420231022320
51041012133
6120525332
725253360
oct10551270
94257482
102282168
111319699
12920848
1361b9c5
144359a0
153012e8
hex22d2b8

2282168 has 32 divisors (see below), whose sum is σ = 4959360. Its totient is φ = 964320.

The previous prime is 2282149. The next prime is 2282173. The reversal of 2282168 is 8612822.

It is a self number, because there is not a number n which added to its sum of digits gives 2282168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4403 + ... + 4893.

It is an arithmetic number, because the mean of its divisors is an integer number (154980).

22282168 is an apocalyptic number.

2282168 is a gapful number since it is divisible by the number (28) 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 2282168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479680).

2282168 is an abundant number, since it is smaller than the sum of its proper divisors (2677192).

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

2282168 is a wasteful number, since it uses less digits than its factorization.

2282168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 583 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 2282168 is about 1510.6846130149. The cubic root of 2282168 is about 131.6585912546.

The spelling of 2282168 in words is "two million, two hundred eighty-two thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 83 166 332 491 581 664 982 1162 1964 2324 3437 3928 4648 6874 13748 27496 40753 81506 163012 285271 326024 570542 1141084 2282168