Search a number
-
+
2210324240 = 245197140249
BaseRepresentation
bin1000001110111110…
…1101111100010000
312201001010002211202
42003233231330100
514011320333430
61003154530332
7105526305665
oct20357557420
95631102752
102210324240
11a34741353
125182969a8
13292c07987
1416d7a7a6c
15ce0aad45
hex83bedf10

2210324240 has 40 divisors (see below), whose sum is σ = 5165127000. Its totient is φ = 879635456.

The previous prime is 2210324189. The next prime is 2210324269. The reversal of 2210324240 is 424230122.

It can be written as a sum of positive squares in 4 ways, for example, as 711395584 + 1498928656 = 26672^2 + 38716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 54365 + ... + 85884.

It is an arithmetic number, because the mean of its divisors is an integer number (129128175).

Almost surely, 22210324240 is an apocalyptic number.

2210324240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210324240 is an abundant number, since it is smaller than the sum of its proper divisors (2954802760).

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

2210324240 is a wasteful number, since it uses less digits than its factorization.

2210324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140459 (or 140453 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2210324240 is about 47014.0855489076. The cubic root of 2210324240 is about 1302.6227602289.

Adding to 2210324240 its reverse (424230122), we get a palindrome (2634554362).

The spelling of 2210324240 in words is "two billion, two hundred ten million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 197 394 788 985 1576 1970 3152 3940 7880 15760 140249 280498 560996 701245 1121992 1402490 2243984 2804980 5609960 11219920 27629053 55258106 110516212 138145265 221032424 276290530 442064848 552581060 1105162120 2210324240