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2244422424 = 2331910614639
BaseRepresentation
bin1000010111000111…
…0010101100011000
312210102021110202110
42011301302230120
514044033004144
61010413432320
7106422163416
oct20561625430
95712243673
102244422424
11a51a10872
1252779b6a0
13299cb610a
141741222b6
15d20940b9
hex85c72b18

2244422424 has 64 divisors (see below), whose sum is σ = 5913216000. Its totient is φ = 707944320.

The previous prime is 2244422419. The next prime is 2244422431. The reversal of 2244422424 is 4242244422.

It is a happy number.

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 = 2244422391 and 2244422400.

It is a congruent number.

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, 481497 + ... + 486135.

It is an arithmetic number, because the mean of its divisors is an integer number (92394000).

Almost surely, 22244422424 is an apocalyptic number.

2244422424 is a gapful number since it is divisible by the number (24) 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 2244422424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956608000).

2244422424 is an abundant number, since it is smaller than the sum of its proper divisors (3668793576).

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

2244422424 is a wasteful number, since it uses less digits than its factorization.

2244422424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5728 (or 5724 counting only the distinct ones).

The product of its digits is 32768, while the sum is 30.

The square root of 2244422424 is about 47375.3356083099. The cubic root of 2244422424 is about 1309.2870319623.

Adding to 2244422424 its reverse (4242244422), we get a palindrome (6486666846).

The spelling of 2244422424 in words is "two billion, two hundred forty-four million, four hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1061 2122 3183 4244 4639 6366 8488 9278 12732 13917 18556 20159 25464 27834 37112 40318 55668 60477 80636 88141 111336 120954 161272 176282 241908 264423 352564 483816 528846 705128 1057692 2115384 4921979 9843958 14765937 19687916 29531874 39375832 59063748 93517601 118127496 187035202 280552803 374070404 561105606 748140808 1122211212 2244422424