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2208146203328 = 261331131653539
BaseRepresentation
bin100000001000011111110…
…001010010001011000000
321211002121111122112121212
4200020133301102023000
5242134240412001303
64410224112305252
7315350631020012
oct40103761221300
97732544575555
102208146203328
11781518a6912a
122b7b53842228
131302c54963b0
1478c368161b2
153c68b6cbad8
hex2021fc522c0

2208146203328 has 112 divisors (see below), whose sum is σ = 4908263162880. Its totient is φ = 978738508800.

The previous prime is 2208146203327. The next prime is 2208146203331. The reversal of 2208146203328 is 8233026418022.

It is a super-2 number, since 2×22081462033282 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2208146203327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3051983 + ... + 3705521.

It is an arithmetic number, because the mean of its divisors is an integer number (43823778240).

Almost surely, 22208146203328 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 2208146203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454131581440).

2208146203328 is an abundant number, since it is smaller than the sum of its proper divisors (2700116959552).

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

2208146203328 is a wasteful number, since it uses less digits than its factorization.

2208146203328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653726 (or 653716 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 2208146203328 in words is "two trillion, two hundred eight billion, one hundred forty-six million, two hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 131 208 248 262 403 416 496 524 806 832 992 1048 1612 1703 1984 2096 3224 3406 4061 4192 6448 6812 8122 8384 12896 13624 16244 25792 27248 32488 52793 54496 64976 105586 108992 129952 211172 259904 422344 653539 844688 1307078 1689376 2614156 3378752 5228312 8496007 10456624 16992014 20259709 20913248 33984028 40519418 41826496 67968056 81038836 85613609 135936112 162077672 171227218 263376217 271872224 324155344 342454436 526752434 543744448 648310688 684908872 1053504868 1112976917 1296621376 1369817744 2107009736 2225953834 2654021879 2739635488 4214019472 4451907668 5308043758 5479270976 8428038944 8903815336 10616087516 16856077888 17807630672 21232175032 34502284427 35615261344 42464350064 69004568854 71230522688 84928700128 138009137708 169857400256 276018275416 552036550832 1104073101664 2208146203328