Search a number
-
+
2220120130200 = 233527528600031
BaseRepresentation
bin100000010011101001011…
…110001100001010011000
321212020111222201001100220
4200103221132030022120
5242333301223131300
64415524211200040
7316253434511550
oct40235136141230
97766458631326
102220120130200
11786602a31665
122ba3358a6020
131314830cc41b
1479650ba8160
153cb3c9ebda0
hex204e978c298

2220120130200 has 96 divisors (see below), whose sum is σ = 7865568476160. Its totient is φ = 507456028800.

The previous prime is 2220120130181. The next prime is 2220120130219. The reversal of 2220120130200 is 20310210222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2220120130181) and next prime (2220120130219).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2220120130200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264295816 + ... + 264304215.

It is an arithmetic number, because the mean of its divisors is an integer number (81933004960).

Almost surely, 22220120130200 is an apocalyptic number.

2220120130200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220120130200 is an abundant number, since it is smaller than the sum of its proper divisors (5645448345960).

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

2220120130200 is a wasteful number, since it uses less digits than its factorization.

2220120130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528600057 (or 528600048 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2220120130200 its reverse (20310210222), we get a palindrome (2240430340422).

The spelling of 2220120130200 in words is "two trillion, two hundred twenty billion, one hundred twenty million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 528600031 1057200062 1585800093 2114400124 2643000155 3171600186 3700200217 4228800248 5286000310 6343200372 7400400434 7929000465 10572000620 11100600651 12686400744 13215000775 14800800868 15858000930 18501001085 21144001240 22201201302 26430001550 29601601736 31716001860 37002002170 39645002325 44402402604 52860003100 55503003255 63432003720 74004004340 79290004650 88804805208 92505005425 105720006200 111006006510 148008008680 158580009300 185010010850 222012013020 277515016275 317160018600 370020021700 444024026040 555030032550 740040043400 1110060065100 2220120130200