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2288968 = 231119372
BaseRepresentation
bin1000101110110101001000
311022021212121
420232311020
51041221333
6121021024
725312243
oct10566510
94267777
102288968
111323810
12924774
13621b26
1443825a
1530332d
hex22ed48

2288968 has 48 divisors (see below), whose sum is σ = 5065200. Its totient is φ = 959040.

The previous prime is 2288953. The next prime is 2289013. The reversal of 2288968 is 8698822.

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, 61846 + ... + 61882.

It is an arithmetic number, because the mean of its divisors is an integer number (105525).

22288968 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 2288968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532600).

2288968 is an abundant number, since it is smaller than the sum of its proper divisors (2776232).

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

2288968 is a wasteful number, since it uses less digits than its factorization.

2288968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 69 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

The square root of 2288968 is about 1512.9335742193. The cubic root of 2288968 is about 131.7892259102.

The spelling of 2288968 in words is "two million, two hundred eighty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 19 22 37 38 44 74 76 88 148 152 209 296 407 418 703 814 836 1369 1406 1628 1672 2738 2812 3256 5476 5624 7733 10952 15059 15466 26011 30118 30932 52022 60236 61864 104044 120472 208088 286121 572242 1144484 2288968