Search a number
-
+
2203000313220 = 2232576732597939
BaseRepresentation
bin100000000011101101000…
…011010001010110000100
321210121022212202020110100
4200003231003101112010
5242043221040010340
64404013330124100
7315106254460650
oct40035503212604
97717285666410
102203000313220
1177a318276793
122b6b58420630
1312c9853474c5
14788a9219a60
153c489a58830
hex200ed0d1584

2203000313220 has 144 divisors (see below), whose sum is σ = 7648418494080. Its totient is φ = 502794528768.

The previous prime is 2203000313219. The next prime is 2203000313221. The reversal of 2203000313220 is 223130003022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2203000313219) and next prime (2203000313221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2203000313193 and 2203000313202.

It is not an unprimeable number, because it can be changed into a prime (2203000313221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450990 + ... + 2146949.

It is an arithmetic number, because the mean of its divisors is an integer number (53114017320).

Almost surely, 22203000313220 is an apocalyptic number.

2203000313220 is a gapful number since it is divisible by the number (20) 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 2203000313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824209247040).

2203000313220 is an abundant number, since it is smaller than the sum of its proper divisors (5445418180860).

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

2203000313220 is a wasteful number, since it uses less digits than its factorization.

2203000313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598634 (or 2598629 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2203000313220 its reverse (223130003022), we get a palindrome (2426130316242).

The spelling of 2203000313220 in words is "two trillion, two hundred three billion, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 673 1260 1346 2019 2692 3365 4038 4711 6057 6730 8076 9422 10095 12114 13460 14133 18844 20190 23555 24228 28266 30285 40380 42399 47110 56532 60570 70665 84798 94220 121140 141330 169596 211995 282660 423990 847980 2597939 5195878 7793817 10391756 12989695 15587634 18185573 23381451 25979390 31175268 36371146 38969085 46762902 51958780 54556719 72742292 77938170 90927865 93525804 109113438 116907255 155876340 163670157 181855730 218226876 233814510 272783595 327340314 363711460 467629020 545567190 654680628 818350785 1091134380 1636701570 1748412947 3273403140 3496825894 5245238841 6993651788 8742064735 10490477682 12238890629 15735716523 17484129470 20980955364 24477781258 26226194205 31471433046 34968258940 36716671887 48955562516 52452388410 61194453145 62942866092 73433343774 78678582615 104904776820 110150015661 122388906290 146866687548 157357165230 183583359435 220300031322 244777812580 314714330460 367166718870 440600062644 550750078305 734333437740 1101500156610 2203000313220