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2244422224 = 241128871307
BaseRepresentation
bin1000010111000111…
…0010101001010000
312210102021110111001
42011301302221100
514044033002344
61010413431344
7106422163012
oct20561625120
95712243431
102244422224
11a51a10700
1252779b554
13299cb5cb5
141741221b2
15d2093ed4
hex85c72a50

2244422224 has 60 divisors (see below), whose sum is σ = 4788880992. Its totient is φ = 1018262080.

The previous prime is 2244422197. The next prime is 2244422233. The reversal of 2244422224 is 4222244422.

It is a super-2 number, since 2×22444222242 = 10074862239170212352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2244422192 and 2244422201.

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 11 ways as a sum of consecutive naturals, for example, 1716579 + ... + 1717885.

Almost surely, 22244422224 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 2244422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394440496).

2244422224 is an abundant number, since it is smaller than the sum of its proper divisors (2544458768).

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

2244422224 is a wasteful number, since it uses less digits than its factorization.

2244422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2207 counting only the distinct ones).

The product of its digits is 16384, while the sum is 28.

The square root of 2244422224 is about 47375.3334975069. Note that the first 3 decimals coincide. The cubic root of 2244422224 is about 1309.2869930722.

Adding to 2244422224 its reverse (4222244422), we get a palindrome (6466666646).

The spelling of 2244422224 in words is "two billion, two hundred forty-four million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 887 968 1307 1774 1936 2614 3548 5228 7096 9757 10456 14192 14377 19514 20912 28754 39028 57508 78056 107327 115016 156112 158147 214654 230032 316294 429308 632588 858616 1159309 1265176 1717232 2318618 2530352 4637236 9274472 12752399 18548944 25504798 51009596 102019192 140276389 204038384 280552778 561105556 1122211112 2244422224