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4066444220 = 2251931615659
BaseRepresentation
bin1111001001100001…
…0000001110111100
3101111101201202210012
43302120100032330
531312002203340
61511302002352
7202525130336
oct36230201674
911441652705
104066444220
1117a7446803
12955a163b8
134ca616917
142a80cc456
1518beec565
hexf26103bc

4066444220 has 96 divisors (see below), whose sum is σ = 9432729600. Its totient is φ = 1466553600.

The previous prime is 4066444169. The next prime is 4066444237. The reversal of 4066444220 is 224446604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715751 + ... + 721409.

It is an arithmetic number, because the mean of its divisors is an integer number (98257600).

Almost surely, 24066444220 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 4066444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716364800).

4066444220 is an abundant number, since it is smaller than the sum of its proper divisors (5366285380).

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

4066444220 is a wasteful number, since it uses less digits than its factorization.

4066444220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5779 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 4066444220 is about 63768.6774208153. The cubic root of 4066444220 is about 1596.1422974530.

The spelling of 4066444220 in words is "four billion, sixty-six million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 61 62 76 95 122 124 155 190 244 305 310 380 589 610 620 1159 1178 1220 1891 2318 2356 2945 3782 4636 5659 5795 5890 7564 9455 11318 11590 11780 18910 22636 23180 28295 35929 37820 56590 71858 107521 113180 143716 175429 179645 215042 345199 350858 359290 430084 537605 690398 701716 718580 877145 1075210 1380796 1725995 1754290 2150420 3333151 3451990 3508580 6558781 6666302 6903980 10701169 13117562 13332604 16665755 21402338 26235124 32793905 33331510 42804676 53505845 65587810 66663020 107011690 131175620 203322211 214023380 406644422 813288844 1016611055 2033222110 4066444220