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2290656 = 253107223
BaseRepresentation
bin1000101111001111100000
311022101012010
420233033200
51041300111
6121032520
725320204
oct10571740
94271163
102290656
111325005
12925740
13622824
14438b04
15303aa6
hex22f3e0

2290656 has 48 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 753024.

The previous prime is 2290649. The next prime is 2290703. The reversal of 2290656 is 6560922.

2290656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 10161 + ... + 10383.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

22290656 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 2290656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2290656 is an abundant number, since it is smaller than the sum of its proper divisors (3805728).

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

2290656 is a wasteful number, since it uses less digits than its factorization.

2290656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2290656 is about 1513.4913280227. The cubic root of 2290656 is about 131.8216139488.

The spelling of 2290656 in words is "two million, two hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 223 321 428 446 642 669 856 892 1284 1338 1712 1784 2568 2676 3424 3568 5136 5352 7136 10272 10704 21408 23861 47722 71583 95444 143166 190888 286332 381776 572664 763552 1145328 2290656