Search a number
-
+
2224032444 = 2233103199931
BaseRepresentation
bin1000010010010000…
…0000101010111100
312201222220112222000
42010210000222330
514023323014234
61004404422300
7106053651414
oct20444005274
95658815860
102224032444
11a41454547
125209a7990
132959c733a
14171535644
15d03b7899
hex84900abc

2224032444 has 48 divisors (see below), whose sum is σ = 5822019840. Its totient is φ = 734142960.

The previous prime is 2224032443. The next prime is 2224032469. The reversal of 2224032444 is 4442304222.

It is a super-2 number, since 2×22240324442 = 9892640623929226272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224032443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88842 + ... + 111089.

It is an arithmetic number, because the mean of its divisors is an integer number (121292080).

Almost surely, 22224032444 is an apocalyptic number.

It is an amenable number.

2224032444 is an abundant number, since it is smaller than the sum of its proper divisors (3597987396).

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

2224032444 is a wasteful number, since it uses less digits than its factorization.

2224032444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200047 (or 200039 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2224032444 is about 47159.6484719723. The cubic root of 2224032444 is about 1305.3101231514.

Adding to 2224032444 its reverse (4442304222), we get a palindrome (6666336666).

The spelling of 2224032444 in words is "two billion, two hundred twenty-four million, thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 927 1236 1854 2781 3708 5562 11124 199931 399862 599793 799724 1199586 1799379 2399172 3598758 5398137 7197516 10796274 20592893 21592548 41185786 61778679 82371572 123557358 185336037 247114716 370672074 556008111 741344148 1112016222 2224032444