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4223333224 = 23111936997
BaseRepresentation
bin1111101110111010…
…1111001101101000
3101220022221120001001
43323232233031220
532122133130344
61535024404344
7206441511565
oct37356571550
911808846031
104223333224
111877a63840
1299a4766b4
13523c88356
142c0c8b86c
1519ab8ced4
hexfbbaf368

4223333224 has 64 divisors (see below), whose sum is σ = 9119793600. Its totient is φ = 1818400320.

The previous prime is 4223333201. The next prime is 4223333299.

4223333224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4223333192 and 4223333201.

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, 600094 + ... + 607090.

It is an arithmetic number, because the mean of its divisors is an integer number (142496775).

Almost surely, 24223333224 is an apocalyptic number.

4223333224 is a gapful number since it is divisible by the number (44) 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 4223333224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559896800).

4223333224 is an abundant number, since it is smaller than the sum of its proper divisors (4896460376).

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

4223333224 is a wasteful number, since it uses less digits than its factorization.

4223333224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7071 (or 7029 counting only the distinct ones).

The product of its digits is 20736, while the sum is 28.

The square root of 4223333224 is about 64987.1773813881. The cubic root of 4223333224 is about 1616.4109468962.

It can be divided in two parts, 42233 and 33224, that added together give a palindrome (75457).

The spelling of 4223333224 in words is "four billion, two hundred twenty-three million, three hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 361 418 722 836 1444 1672 2888 3971 6859 6997 7942 13718 13994 15884 27436 27988 31768 54872 55976 75449 76967 132943 150898 153934 265886 301796 307868 531772 603592 615736 1063544 1462373 2525917 2924746 5051834 5849492 10103668 11698984 20207336 27785087 47992423 55570174 95984846 111140348 191969692 222280696 383939384 527916653 1055833306 2111666612 4223333224