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2216441556 = 223475318439
BaseRepresentation
bin1000010000011100…
…0011011011010100
312201110121220020000
42010013003123110
514014402112211
61003534011300
7105632304510
oct20407033324
95643556200
102216441556
11a3813a38a
1251a346b30
1329426a1a4
1417051b140
15ce8b8656
hex841c36d4

2216441556 has 120 divisors (see below), whose sum is σ = 6747269760. Its totient is φ = 621286848.

The previous prime is 2216441543. The next prime is 2216441581. The reversal of 2216441556 is 6551446122.

2216441556 is a `hidden beast` number, since 2 + 2 + 1 + 64 + 41 + 556 = 666.

It is a super-2 number, since 2×22164415562 = 9825226342327402272, 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 2216441556.

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 39 ways as a sum of consecutive naturals, for example, 110985 + ... + 129423.

It is an arithmetic number, because the mean of its divisors is an integer number (56227248).

Almost surely, 22216441556 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 2216441556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373634880).

2216441556 is an abundant number, since it is smaller than the sum of its proper divisors (4530828204).

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

2216441556 is a wasteful number, since it uses less digits than its factorization.

2216441556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18515 (or 18504 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2216441556 is about 47079.0989293551. The cubic root of 2216441556 is about 1303.8233706652.

Adding to 2216441556 its reverse (6551446122), we get a palindrome (8767887678).

The spelling of 2216441556 in words is "two billion, two hundred sixteen million, four hundred forty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 81 84 106 108 126 159 162 189 212 252 318 324 371 378 477 567 636 742 756 954 1113 1134 1431 1484 1908 2226 2268 2862 3339 4293 4452 5724 6678 8586 10017 13356 17172 18439 20034 30051 36878 40068 55317 60102 73756 110634 120204 129073 165951 221268 258146 331902 387219 497853 516292 663804 774438 977267 995706 1161657 1493559 1548876 1954534 1991412 2323314 2931801 2987118 3484971 3909068 4646628 5863602 5974236 6840869 6969942 8795403 10454913 11727204 13681738 13939884 17590806 20522607 20909826 26386209 27363476 35181612 41045214 41819652 52772418 61567821 79158627 82090428 105544836 123135642 158317254 184703463 246271284 316634508 369406926 554110389 738813852 1108220778 2216441556