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2206680 = 233573771
BaseRepresentation
bin1000011010101111011000
311011002222220
420122233120
51031103210
6115144040
724520320
oct10325730
94132886
102206680
111277a03
128a5020
135c3538
14416280
152d8c70
hex21abd8

2206680 has 128 divisors (see below), whose sum is σ = 7879680. Its totient is φ = 483840.

The previous prime is 2206669. The next prime is 2206681. The reversal of 2206680 is 866022.

2206680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 211 + 219 + 0 + 63 + 68 + 83 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2206680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31045 + ... + 31115.

It is an arithmetic number, because the mean of its divisors is an integer number (61560).

22206680 is an apocalyptic number.

2206680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2206680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939840).

2206680 is an abundant number, since it is smaller than the sum of its proper divisors (5673000).

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

2206680 is a wasteful number, since it uses less digits than its factorization.

2206680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2206680 is about 1485.4898182081. The cubic root of 2206680 is about 130.1906472974.

The spelling of 2206680 in words is "two million, two hundred six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 71 74 84 105 111 120 140 142 148 168 185 210 213 222 259 280 284 296 355 370 420 426 444 497 518 555 568 710 740 777 840 852 888 994 1036 1065 1110 1295 1420 1480 1491 1554 1704 1988 2072 2130 2220 2485 2590 2627 2840 2982 3108 3885 3976 4260 4440 4970 5180 5254 5964 6216 7455 7770 7881 8520 9940 10360 10508 11928 13135 14910 15540 15762 18389 19880 21016 26270 29820 31080 31524 36778 39405 52540 55167 59640 63048 73556 78810 91945 105080 110334 147112 157620 183890 220668 275835 315240 367780 441336 551670 735560 1103340 2206680