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130224444 = 22378917419
BaseRepresentation
bin1111100001100…
…01000100111100
3100002001002100120
413300301010330
5231314140234
620531054540
73140614050
oct760610474
9302032316
10130224444
1167565609
1237741450
1320c969ac
141341bc60
15b675049
hex7c3113c

130224444 has 48 divisors (see below), whose sum is σ = 351187200. Its totient is φ = 36786816.

The previous prime is 130224407. The next prime is 130224467. The reversal of 130224444 is 444422031.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 1234 + ... + 16185.

It is an arithmetic number, because the mean of its divisors is an integer number (7316400).

Almost surely, 2130224444 is an apocalyptic number.

130224444 is a gapful number since it is divisible by the number (14) 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 130224444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175593600).

130224444 is an abundant number, since it is smaller than the sum of its proper divisors (220962756).

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

130224444 is a wasteful number, since it uses less digits than its factorization.

130224444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17522 (or 17520 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 130224444 is about 11411.5925269000. The cubic root of 130224444 is about 506.8710696125.

Adding to 130224444 its reverse (444422031), we get a palindrome (574646475).

The spelling of 130224444 in words is "one hundred thirty million, two hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 7476 17419 34838 52257 69676 104514 121933 209028 243866 365799 487732 731598 1463196 1550291 3100582 4650873 6201164 9301746 10852037 18603492 21704074 32556111 43408148 65112222 130224444