Search a number
-
+
2205040240 = 245132120231
BaseRepresentation
bin1000001101101110…
…0011111001110000
312200200011122120001
42003123203321300
514003442241430
61002445355344
7105433350514
oct20333437160
95620148501
102205040240
11a31762407
12516568b54
13291aa7850
1416cbd0144
15cd8b53ca
hex836e3e70

2205040240 has 40 divisors (see below), whose sum is σ = 5521084128. Its totient is φ = 814168320.

The previous prime is 2205040219. The next prime is 2205040289. The reversal of 2205040240 is 420405022.

2205040240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1059076 + ... + 1061155.

Almost surely, 22205040240 is an apocalyptic number.

2205040240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2205040240 is an abundant number, since it is smaller than the sum of its proper divisors (3316043888).

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

2205040240 is a wasteful number, since it uses less digits than its factorization.

2205040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120257 (or 2120251 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2205040240 is about 46957.8559987570. The cubic root of 2205040240 is about 1301.5839155328.

Adding to 2205040240 its reverse (420405022), we get a palindrome (2625445262).

The spelling of 2205040240 in words is "two billion, two hundred five million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2120231 4240462 8480924 10601155 16961848 21202310 27563003 33923696 42404620 55126006 84809240 110252012 137815015 169618480 220504024 275630030 441008048 551260060 1102520120 2205040240