Search a number
-
+
2440200224 = 25711290031
BaseRepresentation
bin1001000101110010…
…1000000000100000
320022001200000102002
42101130220000200
514444142401344
61042045543132
7114320234240
oct22134500040
96261600362
102440200224
11104247a600
12581274aa8
132cb722677
14192125b20
15e436744e
hex91728020

2440200224 has 72 divisors (see below), whose sum is σ = 6035025024. Its totient is φ = 950716800.

The previous prime is 2440200211. The next prime is 2440200227. The reversal of 2440200224 is 4220020442.

It is a junction number, because it is equal to n+sod(n) for n = 2440200196 and 2440200205.

It is not an unprimeable number, because it can be changed into a prime (2440200227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17912 + ... + 72119.

It is an arithmetic number, because the mean of its divisors is an integer number (83819792).

Almost surely, 22440200224 is an apocalyptic number.

It is an amenable number.

2440200224 is an abundant number, since it is smaller than the sum of its proper divisors (3594824800).

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

2440200224 is a wasteful number, since it uses less digits than its factorization.

2440200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90070 (or 90051 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2440200224 is about 49398.3828075373. The cubic root of 2440200224 is about 1346.2999227878.

Adding to 2440200224 its reverse (4220020442), we get a palindrome (6660220666).

The spelling of 2440200224 in words is "two billion, four hundred forty million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 6776 13552 27104 90031 180062 360124 630217 720248 990341 1260434 1440496 1980682 2520868 2880992 3961364 5041736 6932387 7922728 10083472 10893751 13864774 15845456 20166944 21787502 27729548 31690912 43575004 55459096 76256257 87150008 110918192 152512514 174300016 221836384 305025028 348600032 610050056 1220100112 2440200224