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4222313320 = 2352311933847
BaseRepresentation
bin1111101110101011…
…0110001101101000
3101220021000201222211
43323222312031220
532121403011240
61534550454504
7206430033241
oct37352661550
911807021884
104222313320
111877427545
1299a064434
135239bc064
142c0aa3cc8
1519aa3abea
hexfbab6368

4222313320 has 64 divisors (see below), whose sum is σ = 9924145920. Its totient is φ = 1613720064.

The previous prime is 4222313309. The next prime is 4222313327. The reversal of 4222313320 is 233132224.

It is a junction number, because it is equal to n+sod(n) for n = 4222313291 and 4222313300.

It is not an unprimeable number, because it can be changed into a prime (4222313327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1095637 + ... + 1099483.

It is an arithmetic number, because the mean of its divisors is an integer number (155064780).

Almost surely, 24222313320 is an apocalyptic number.

4222313320 is a gapful number since it is divisible by the number (40) 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 4222313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962072960).

4222313320 is an abundant number, since it is smaller than the sum of its proper divisors (5701832600).

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

4222313320 is a wasteful number, since it uses less digits than its factorization.

4222313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 4222313320 is about 64979.3299442215. The cubic root of 4222313320 is about 1616.2808192910.

Adding to 4222313320 its reverse (233132224), we get a palindrome (4455445544).

The spelling of 4222313320 in words is "four billion, two hundred twenty-two million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1193 2386 3847 4772 5965 7694 9544 11930 15388 19235 23860 27439 30776 38470 47720 54878 76940 88481 109756 137195 153880 176962 219512 274390 353924 442405 548780 707848 884810 1097560 1769620 3539240 4589471 9178942 18357884 22947355 36715768 45894710 91789420 105557833 183578840 211115666 422231332 527789165 844462664 1055578330 2111156660 4222313320