Search a number
-
+
2204886656 = 27731163487
BaseRepresentation
bin1000001101101011…
…1110011010000000
312200122212211212202
42003122332122000
514003422333111
61002442212332
7105432140660
oct20332763200
95618784782
102204886656
11a31667a85
125164b40a8
13291a5297b
1416cb901a0
15cd884b3b
hex836be680

2204886656 has 128 divisors (see below), whose sum is σ = 5224488960. Its totient is φ = 906992640.

The previous prime is 2204886637. The next prime is 2204886667. The reversal of 2204886656 is 6566884022.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2204886656.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4527245 + ... + 4527731.

It is an arithmetic number, because the mean of its divisors is an integer number (40816320).

Almost surely, 22204886656 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 2204886656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612244480).

2204886656 is an abundant number, since it is smaller than the sum of its proper divisors (3019602304).

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

2204886656 is a wasteful number, since it uses less digits than its factorization.

2204886656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 47.

The square root of 2204886656 is about 46956.2206315628. The cubic root of 2204886656 is about 1301.5536958114.

The spelling of 2204886656 in words is "two billion, two hundred four million, eight hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 163 217 224 248 326 434 448 487 496 652 868 896 974 992 1141 1304 1736 1948 1984 2282 2608 3409 3472 3896 3968 4564 5053 5216 6818 6944 7792 9128 10106 10432 13636 13888 15097 15584 18256 20212 20864 27272 27776 30194 31168 35371 36512 40424 54544 60388 62336 70742 73024 79381 80848 105679 109088 120776 141484 146048 158762 161696 211358 218176 241552 282968 317524 323392 422716 436352 483104 555667 565936 635048 646784 845432 966208 1111334 1131872 1270096 1690864 1932416 2222668 2263744 2460811 2540192 3381728 4445336 4527488 4921622 5080384 6763456 8890672 9843244 10160768 13526912 17225677 17781344 19686488 34451354 35562688 39372976 68902708 71125376 78745952 137805416 157491904 275610832 314983808 551221664 1102443328 2204886656