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2213728 = 251119331
BaseRepresentation
bin1000011100011101100000
311011110122221
420130131200
51031314403
6115240424
724550006
oct10343540
94143587
102213728
111282230
128a9114
135c67ca
14418a76
152dadbd
hex21c760

2213728 has 48 divisors (see below), whose sum is σ = 5019840. Its totient is φ = 950400.

The previous prime is 2213711. The next prime is 2213759. The reversal of 2213728 is 8273122.

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, 6523 + ... + 6853.

It is an arithmetic number, because the mean of its divisors is an integer number (104580).

22213728 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 2213728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509920).

2213728 is an abundant number, since it is smaller than the sum of its proper divisors (2806112).

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

2213728 is a wasteful number, since it uses less digits than its factorization.

2213728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 2213728 is about 1487.8602084873. The cubic root of 2213728 is about 130.3291069608.

The spelling of 2213728 in words is "two million, two hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 331 352 418 608 662 836 1324 1672 2648 3344 3641 5296 6289 6688 7282 10592 12578 14564 25156 29128 50312 58256 69179 100624 116512 138358 201248 276716 553432 1106864 2213728