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3722228320 = 255197269439
BaseRepresentation
bin1101110111011100…
…1011001001100000
3100121102000210100011
43131313023021200
530110342301240
61413204134304
7161145263416
oct33567131140
910542023304
103722228320
111640112258
1287a697394
13474207385
142744c92b6
1516bba76ea
hexdddcb260

3722228320 has 96 divisors (see below), whose sum is σ = 8891467200. Its totient is φ = 1472464896.

The previous prime is 3722228297. The next prime is 3722228333. The reversal of 3722228320 is 238222273.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8478661 + ... + 8479099.

It is an arithmetic number, because the mean of its divisors is an integer number (92619450).

Almost surely, 23722228320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3722228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445733600).

3722228320 is an abundant number, since it is smaller than the sum of its proper divisors (5169238880).

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

3722228320 is a wasteful number, since it uses less digits than its factorization.

3722228320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 3722228320 is about 61010.0673659684. The cubic root of 3722228320 is about 1549.7714987475.

The spelling of 3722228320 in words is "three billion, seven hundred twenty-two million, two hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 197 269 394 439 538 788 878 985 1076 1345 1576 1756 1970 2152 2195 2690 3152 3512 3940 4304 4390 5380 6304 7024 7880 8608 8780 10760 14048 15760 17560 21520 31520 35120 43040 52993 70240 86483 105986 118091 172966 211972 236182 264965 345932 423944 432415 472364 529930 590455 691864 847888 864830 944728 1059860 1180910 1383728 1695776 1729660 1889456 2119720 2361820 2767456 3459320 3778912 4239440 4723640 6918640 8478880 9447280 13837280 18894560 23263927 46527854 93055708 116319635 186111416 232639270 372222832 465278540 744445664 930557080 1861114160 3722228320