Search a number
-
+
2220220012300 = 2252103227949583
BaseRepresentation
bin100000010011101111011…
…011001101011100001100
321212020202221122120211221
4200103233123031130030
5242334002310343200
64415542140053124
7316256056503163
oct40235733153414
97766687576757
102220220012300
11786654352554
122ba3632341a4
1313149aa01364
14796601683da
153cb4667b91a
hex204ef6cd70c

2220220012300 has 72 divisors (see below), whose sum is σ = 4886088270336. Its totient is φ = 875590570560.

The previous prime is 2220220012291. The next prime is 2220220012303. The reversal of 2220220012300 is 32100220222.

2220220012300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2220220012303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1863309 + ... + 2812891.

It is an arithmetic number, because the mean of its divisors is an integer number (67862337088).

Almost surely, 22220220012300 is an apocalyptic number.

2220220012300 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 2220220012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443044135168).

2220220012300 is an abundant number, since it is smaller than the sum of its proper divisors (2665868258036).

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

2220220012300 is a wasteful number, since it uses less digits than its factorization.

2220220012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949927 (or 949920 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2220220012300 its reverse (32100220222), we get a palindrome (2252320232522).

The spelling of 2220220012300 in words is "two trillion, two hundred twenty billion, two hundred twenty million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 227 412 454 515 908 1030 1135 2060 2270 2575 4540 5150 5675 10300 11350 22700 23381 46762 93524 116905 233810 467620 584525 949583 1169050 1899166 2338100 3798332 4747915 9495830 18991660 23739575 47479150 94958300 97807049 195614098 215555341 391228196 431110682 489035245 862221364 978070490 1077776705 1956140980 2155553410 2445176225 4311106820 4890352450 5388883525 9780704900 10777767050 21555534100 22202200123 44404400246 88808800492 111011000615 222022001230 444044002460 555055003075 1110110006150 2220220012300