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2201122352 = 2411132294201
BaseRepresentation
bin1000001100110010…
…0111011000110000
312200101210121020002
42003030213120300
514001441403402
61002225405132
7105355142222
oct20314473060
95611717202
102201122352
11a2a526890
125151997a8
13291035480
1416c490412
15cd38e602
hex83327630

2201122352 has 80 divisors (see below), whose sum is σ = 5033323680. Its totient is φ = 919296000.

The previous prime is 2201122349. The next prime is 2201122361. The reversal of 2201122352 is 2532211022.

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, 521852 + ... + 526052.

It is an arithmetic number, because the mean of its divisors is an integer number (62916546).

Almost surely, 22201122352 is an apocalyptic number.

2201122352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201122352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516661840).

2201122352 is an abundant number, since it is smaller than the sum of its proper divisors (2832201328).

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

2201122352 is a wasteful number, since it uses less digits than its factorization.

2201122352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2201122352 is about 46916.1203852151. The cubic root of 2201122352 is about 1300.8125791622.

Adding to 2201122352 its reverse (2532211022), we get a palindrome (4733333374).

The spelling of 2201122352 in words is "two billion, two hundred one million, one hundred twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 229 286 458 572 916 1144 1832 2288 2519 2977 3664 4201 5038 5954 8402 10076 11908 16804 20152 23816 32747 33608 40304 46211 47632 54613 65494 67216 92422 109226 130988 184844 218452 261976 369688 436904 523952 600743 739376 873808 962029 1201486 1924058 2402972 3848116 4805944 7696232 9611888 10582319 12506377 15392464 21164638 25012754 42329276 50025508 84658552 100051016 137570147 169317104 200102032 275140294 550280588 1100561176 2201122352