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4220221950 = 2325271778809
BaseRepresentation
bin1111101110001011…
…0111100111111110
3101220010002111011200
43323202313213332
532120334100300
61534434000330
7206403203040
oct37342674776
911803074150
104220221950
11187622923a
129994160a6
13523439169
142c06bba90
1519a776200
hexfb8b79fe

4220221950 has 144 divisors (see below), whose sum is σ = 13720505760. Its totient is φ = 907868160.

The previous prime is 4220221931. The next prime is 4220221969. The reversal of 4220221950 is 591220224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4220221931) and next prime (4220221969).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14146 + ... + 92954.

It is an arithmetic number, because the mean of its divisors is an integer number (95281290).

Almost surely, 24220221950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220221950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6860252880).

4220221950 is an abundant number, since it is smaller than the sum of its proper divisors (9500283810).

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

4220221950 is a wasteful number, since it uses less digits than its factorization.

4220221950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78851 (or 78843 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4220221950 is about 64963.2353720164. The cubic root of 4220221950 is about 1616.0139198287.

The spelling of 4220221950 in words is "four billion, two hundred twenty million, two hundred twenty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 25 30 34 35 42 45 50 51 63 70 75 85 90 102 105 119 126 150 153 170 175 210 225 238 255 306 315 350 357 425 450 510 525 595 630 714 765 850 1050 1071 1190 1275 1530 1575 1785 2142 2550 2975 3150 3570 3825 5355 5950 7650 8925 10710 17850 26775 53550 78809 157618 236427 394045 472854 551663 709281 788090 1103326 1182135 1339753 1418562 1654989 1970225 2364270 2679506 2758315 3309978 3546405 3940450 4019259 4964967 5516630 5910675 6698765 7092810 8038518 8274945 9378271 9929934 11821350 12057777 13397530 13791575 16549890 17732025 18756542 20096295 24115554 24824835 27583150 28134813 33493825 35464050 40192590 41374725 46891355 49649670 56269626 60288885 66987650 82749450 84404439 93782710 100481475 120577770 124124175 140674065 168808878 200962950 234456775 248248350 281348130 301444425 422022195 468913550 602888850 703370325 844044390 1406740650 2110110975 4220221950