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2182057056 = 25345771459
BaseRepresentation
bin1000001000001111…
…1000110001100000
312122001220222120000
42002003320301200
513432101311211
61000305020000
7105034115244
oct20203706140
95561828500
102182057056
11a1a794843
1250a924600
1328a0bb62a
14169b2a424
15cb875656
hex820f8c60

2182057056 has 120 divisors (see below), whose sum is σ = 6432897240. Its totient is φ = 725594112.

The previous prime is 2182057037. The next prime is 2182057057. The reversal of 2182057056 is 6507502812.

It is a happy number.

2182057056 is a `hidden beast` number, since 2 + 1 + 82 + 0 + 570 + 5 + 6 = 666.

It is a super-2 number, since 2×21820570562 = 9522745991278774272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2182057056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182057057) 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 19 ways as a sum of consecutive naturals, for example, 1494855 + ... + 1496313.

It is an arithmetic number, because the mean of its divisors is an integer number (53607477).

Almost surely, 22182057056 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 2182057056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216448620).

2182057056 is an abundant number, since it is smaller than the sum of its proper divisors (4250840184).

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

2182057056 is a wasteful number, since it uses less digits than its factorization.

2182057056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2182057056 is about 46712.4935750598. The cubic root of 2182057056 is about 1297.0459663016.

Adding to 2182057056 its reverse (6507502812), we get a palindrome (8689559868).

The spelling of 2182057056 in words is "two billion, one hundred eighty-two million, fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 577 648 864 1154 1296 1459 1731 2308 2592 2918 3462 4377 4616 5193 5836 6924 8754 9232 10386 11672 13131 13848 15579 17508 18464 20772 23344 26262 27696 31158 35016 39393 41544 46688 46737 52524 55392 62316 70032 78786 83088 93474 105048 118179 124632 140064 157572 166176 186948 210096 236358 249264 315144 373896 420192 472716 498528 630288 747792 841843 945432 1260576 1495584 1683686 1890864 2525529 3367372 3781728 5051058 6734744 7576587 10102116 13469488 15153174 20204232 22729761 26938976 30306348 40408464 45459522 60612696 68189283 80816928 90919044 121225392 136378566 181838088 242450784 272757132 363676176 545514264 727352352 1091028528 2182057056