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2441220340 = 225139796797
BaseRepresentation
bin1001000110000010…
…0001000011110100
320022010120211202011
42101200201003310
514444423022330
61042123454004
7114332013316
oct22140410364
96263524664
102441220340
111043006a79
12581687304
132cb9bbaa0
1419230d7b6
15e44b982a
hex918210f4

2441220340 has 48 divisors (see below), whose sum is σ = 5577887952. Its totient is φ = 892071936.

The previous prime is 2441220337. The next prime is 2441220347. The reversal of 2441220340 is 430221442.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 77510416 + 2363709924 = 8804^2 + 48618^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441220347) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23179 + ... + 73618.

It is an arithmetic number, because the mean of its divisors is an integer number (116205999).

Almost surely, 22441220340 is an apocalyptic number.

2441220340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2441220340 is an abundant number, since it is smaller than the sum of its proper divisors (3136667612).

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

2441220340 is a wasteful number, since it uses less digits than its factorization.

2441220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96916 (or 96914 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2441220340 is about 49408.7071273880. The cubic root of 2441220340 is about 1346.4875017610.

Adding to 2441220340 its reverse (430221442), we get a palindrome (2871441782).

The spelling of 2441220340 in words is "two billion, four hundred forty-one million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 485 970 1261 1940 2522 5044 6305 12610 25220 96797 193594 387188 483985 967970 1258361 1935940 2516722 5033444 6291805 9389309 12583610 18778618 25167220 37557236 46946545 93893090 122061017 187786180 244122034 488244068 610305085 1220610170 2441220340