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4224334224 = 243118000633
BaseRepresentation
bin1111101111001010…
…0011100110010000
3101220101211102011010
43323302203212100
532122412143344
61535102050520
7206453151135
oct37362434620
911811742133
104224334224
111878587910
1299a879a40
13524248b66
142c106c58c
1519acd98b9
hexfbca3990

4224334224 has 40 divisors (see below), whose sum is σ = 11904943392. Its totient is φ = 1280101120.

The previous prime is 4224334217. The next prime is 4224334249.

4224334224 is nontrivially palindromic in base 10.

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 = 4224334191 and 4224334200.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3999789 + ... + 4000844.

Almost surely, 24224334224 is an apocalyptic number.

4224334224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4224334224 is an abundant number, since it is smaller than the sum of its proper divisors (7680609168).

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

4224334224 is a wasteful number, since it uses less digits than its factorization.

4224334224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000655 (or 8000649 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 4224334224 is about 64994.8784443821. The cubic root of 4224334224 is about 1616.5386422066.

It can be divided in two parts, 42243 and 34224, that added together give a palindrome (76467).

The spelling of 4224334224 in words is "four billion, two hundred twenty-four million, three hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 8000633 16001266 24001899 32002532 48003798 64005064 88006963 96007596 128010128 176013926 192015192 264020889 352027852 384030384 528041778 704055704 1056083556 1408111408 2112167112 4224334224