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2140441220 = 225107022061
BaseRepresentation
bin111111110010100…
…1000101010000100
312112011121200100202
41333211020222010
513340423104340
6552221030032
7104020310261
oct17745105204
95464550322
102140441220
119a9250195
124b89b5318
132815aa488
141643b6268
15c7da4c15
hex7f948a84

2140441220 has 12 divisors (see below), whose sum is σ = 4494926604. Its totient is φ = 856176480.

The previous prime is 2140441133. The next prime is 2140441223. The reversal of 2140441220 is 221440412.

It can be written as a sum of positive squares in 2 ways, for example, as 231100804 + 1909340416 = 15202^2 + 43696^2 .

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: 107022061 = 2140441220 / (2 + 1 + 4 + 0 + 4 + 4 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2140441192 and 2140441201.

It is not an unprimeable number, because it can be changed into a prime (2140441223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53511011 + ... + 53511050.

It is an arithmetic number, because the mean of its divisors is an integer number (374577217).

Almost surely, 22140441220 is an apocalyptic number.

2140441220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140441220 is an abundant number, since it is smaller than the sum of its proper divisors (2354485384).

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

2140441220 is a wasteful number, since it uses less digits than its factorization.

2140441220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107022070 (or 107022068 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2140441220 is about 46264.9026801095. The cubic root of 2140441220 is about 1288.7473006322.

Adding to 2140441220 its reverse (221440412), we get a palindrome (2361881632).

The spelling of 2140441220 in words is "two billion, one hundred forty million, four hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 107022061 214044122 428088244 535110305 1070220610 2140441220