Search a number
-
+
2220041540 = 225111002077
BaseRepresentation
bin1000010001010011…
…0010010101000100
312201201101210110202
42010110302111010
514021312312130
61004143110032
7106005020213
oct20424622504
95651353422
102220041540
11a3a179082
1251b5a2318
13294c2a962
14170bb707a
15ced7a145
hex84532544

2220041540 has 12 divisors (see below), whose sum is σ = 4662087276. Its totient is φ = 888016608.

The previous prime is 2220041531. The next prime is 2220041573. The reversal of 2220041540 is 451400222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 893770816 + 1326270724 = 29896^2 + 36418^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 111002077 = 2220041540 / (2 + 2 + 2 + 0 + 0 + 4 + 1 + 5 + 4 + 0).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55501019 + ... + 55501058.

It is an arithmetic number, because the mean of its divisors is an integer number (388507273).

Almost surely, 22220041540 is an apocalyptic number.

2220041540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220041540 is an abundant number, since it is smaller than the sum of its proper divisors (2442045736).

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

2220041540 is a wasteful number, since it uses less digits than its factorization.

2220041540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111002086 (or 111002084 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2220041540 is about 47117.3167741967. The cubic root of 2220041540 is about 1304.5288865751.

Adding to 2220041540 its reverse (451400222), we get a palindrome (2671441762).

The spelling of 2220041540 in words is "two billion, two hundred twenty million, forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 111002077 222004154 444008308 555010385 1110020770 2220041540