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2221324252 = 22732955829
BaseRepresentation
bin1000010001100110…
…1011011111011100
312201210210222000121
42010121223133130
514022124334002
61004230404324
7106021642000
oct20431533734
95653728017
102221324252
11a3a974874
1251bb006a4
13295289764
1417102c700
15d0030237
hex8466b7dc

2221324252 has 48 divisors (see below), whose sum is σ = 4689720000. Its totient is φ = 919152192.

The previous prime is 2221324249. The next prime is 2221324253. The reversal of 2221324252 is 2524231222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221324253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11874 + ... + 67702.

It is an arithmetic number, because the mean of its divisors is an integer number (97702500).

Almost surely, 22221324252 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 2221324252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344860000).

2221324252 is an abundant number, since it is smaller than the sum of its proper divisors (2468395748).

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

2221324252 is a wasteful number, since it uses less digits than its factorization.

2221324252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55883 (or 55867 counting only the distinct ones).

The product of its digits is 3840, while the sum is 25.

The square root of 2221324252 is about 47130.9267042353. The cubic root of 2221324252 is about 1304.7800849804.

Adding to 2221324252 its reverse (2524231222), we get a palindrome (4745555474).

The spelling of 2221324252 in words is "two billion, two hundred twenty-one million, three hundred twenty-four thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 343 406 686 812 1372 1421 2842 5684 9947 19894 39788 55829 111658 223316 390803 781606 1563212 1619041 2735621 3238082 5471242 6476164 10942484 11333287 19149347 22666574 38298694 45333148 76597388 79333009 158666018 317332036 555331063 1110662126 2221324252