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2201513856 = 27331792341
BaseRepresentation
bin1000001100111000…
…0110111110000000
312200102112111021020
42003032012332000
514002041420411
61002242025440
7105361362513
oct20316067600
95612474236
102201513856
11a2a773a43
12515348280
13291141729
1416c552d7a
15cd41a606
hex83386f80

2201513856 has 128 divisors (see below), whose sum is σ = 6115430400. Its totient is φ = 700876800.

The previous prime is 2201513849. The next prime is 2201513891. The reversal of 2201513856 is 6583151022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939246 + ... + 941586.

It is an arithmetic number, because the mean of its divisors is an integer number (47776800).

Almost surely, 22201513856 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 2201513856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057715200).

2201513856 is an abundant number, since it is smaller than the sum of its proper divisors (3913916544).

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

2201513856 is a wasteful number, since it uses less digits than its factorization.

2201513856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 2201513856 is about 46920.2925822080. The cubic root of 2201513856 is about 1300.8896978704.

Adding to 2201513856 its reverse (6583151022), we get a palindrome (8784664878).

The spelling of 2201513856 in words is "two billion, two hundred one million, five hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 79 93 96 124 128 158 186 192 237 248 316 372 384 474 496 632 744 948 992 1264 1488 1896 1984 2341 2449 2528 2976 3792 3968 4682 4898 5056 5952 7023 7347 7584 9364 9796 10112 11904 14046 14694 15168 18728 19592 28092 29388 30336 37456 39184 56184 58776 72571 74912 78368 112368 117552 145142 149824 156736 184939 217713 224736 235104 290284 299648 313472 369878 435426 449472 470208 554817 580568 739756 870852 898944 940416 1109634 1161136 1479512 1741704 2219268 2322272 2959024 3483408 4438536 4644544 5733109 5918048 6966816 8877072 9289088 11466218 11836096 13933632 17199327 17754144 22932436 23672192 27867264 34398654 35508288 45864872 68797308 71016576 91729744 137594616 183459488 275189232 366918976 550378464 733837952 1100756928 2201513856