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4228220840 = 235591939283
BaseRepresentation
bin1111110000000101…
…1000011110101000
3101220200010212120212
43330001120132220
532124411031330
61535321240252
7206531166314
oct37401303650
911820125525
104228220840
11187a7a1998
129a0033088
13524ca9c2c
142c17a0b44
1519b306295
hexfc0587a8

4228220840 has 64 divisors (see below), whose sum is σ = 9725918400. Its totient is φ = 1653829632.

The previous prime is 4228220833. The next prime is 4228220863. The reversal of 4228220840 is 480228224.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4228220797 and 4228220806.

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, 450839 + ... + 460121.

It is an arithmetic number, because the mean of its divisors is an integer number (151967475).

Almost surely, 24228220840 is an apocalyptic number.

4228220840 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 4228220840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862959200).

4228220840 is an abundant number, since it is smaller than the sum of its proper divisors (5497697560).

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

4228220840 is a wasteful number, since it uses less digits than its factorization.

4228220840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546 (or 9542 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 4228220840 is about 65024.7709722995. The cubic root of 4228220840 is about 1617.0342579056.

The spelling of 4228220840 in words is "four billion, two hundred twenty-eight million, two hundred twenty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 193 236 295 386 472 590 772 965 1180 1544 1930 2360 3860 7720 9283 11387 18566 22774 37132 45548 46415 56935 74264 91096 92830 113870 185660 227740 371320 455480 547697 1095394 1791619 2190788 2738485 3583238 4381576 5476970 7166476 8958095 10953940 14332952 17916190 21907880 35832380 71664760 105705521 211411042 422822084 528527605 845644168 1057055210 2114110420 4228220840