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2228672 = 2697359
BaseRepresentation
bin1000100000000111000000
311012020011102
420200013000
51032304142
6115433532
724641405
oct10400700
94166142
102228672
111292486
128b58a8
13600554
144202ac
152e0532
hex2201c0

2228672 has 28 divisors (see below), whose sum is σ = 4480560. Its totient is φ = 1099776.

The previous prime is 2228663. The next prime is 2228687. The reversal of 2228672 is 2768222.

2228672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 6029 + ... + 6387.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

22228672 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 2228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240280).

2228672 is an abundant number, since it is smaller than the sum of its proper divisors (2251888).

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

2228672 is an equidigital number, since it uses as much as digits as its factorization.

2228672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 458 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 2228672 is about 1492.8737388004. The cubic root of 2228672 is about 130.6217162243.

The spelling of 2228672 in words is "two million, two hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 97 194 359 388 718 776 1436 1552 2872 3104 5744 6208 11488 22976 34823 69646 139292 278584 557168 1114336 2228672