Search a number
-
+
2144232340 = 225229468173
BaseRepresentation
bin111111111001110…
…0110001110010100
312112102202021210121
41333303212032110
513342410413330
6552434201324
7104064450145
oct17763461624
95472667717
102144232340
11a003aa548
124ba123244
13282306c43
14164ac1acc
15c83a317a
hex7fce6394

2144232340 has 24 divisors (see below), whose sum is σ = 4522560840. Its totient is φ = 853945728.

The previous prime is 2144232319. The next prime is 2144232341. The reversal of 2144232340 is 432324412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 930128004 + 1214104336 = 30498^2 + 34844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144232341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229507 + ... + 238666.

It is an arithmetic number, because the mean of its divisors is an integer number (188440035).

Almost surely, 22144232340 is an apocalyptic number.

2144232340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144232340 is an abundant number, since it is smaller than the sum of its proper divisors (2378328500).

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

2144232340 is a wasteful number, since it uses less digits than its factorization.

2144232340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468411 (or 468409 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2144232340 is about 46305.8564330690. The cubic root of 2144232340 is about 1289.5077223472.

Adding to 2144232340 its reverse (432324412), we get a palindrome (2576556752).

The spelling of 2144232340 in words is "two billion, one hundred forty-four million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2290 4580 468173 936346 1872692 2340865 4681730 9363460 107211617 214423234 428846468 536058085 1072116170 2144232340