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2213888 = 2112347
BaseRepresentation
bin1000011100100000000000
311011110212212
420130200000
51031321023
6115241252
724550325
oct10344000
94143785
102213888
111282366
128a9228
135c68c1
14418b4c
152dae78
hex21c800

2213888 has 48 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 1036288.

The previous prime is 2213867. The next prime is 2213891. The reversal of 2213888 is 8883122.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47081 + ... + 47127.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

22213888 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 2213888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

2213888 is an abundant number, since it is smaller than the sum of its proper divisors (2503552).

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

2213888 is an equidigital number, since it uses as much as digits as its factorization.

2213888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 2213888 is about 1487.9139760080. The cubic root of 2213888 is about 130.3322467857.

The spelling of 2213888 in words is "two million, two hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 128 184 188 256 368 376 512 736 752 1024 1081 1472 1504 2048 2162 2944 3008 4324 5888 6016 8648 11776 12032 17296 23552 24064 34592 47104 48128 69184 96256 138368 276736 553472 1106944 2213888