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2144440122 = 2311714211087
BaseRepresentation
bin111111111010001…
…1000111100111010
312112110010211211020
41333310120330322
513342434040442
6552442443310
7104066304006
oct17764307472
95473124736
102144440122
11a00531670
124ba203536
1328237a6a6
14164b37706
15c83e49ec
hex7fd18f3a

2144440122 has 64 divisors (see below), whose sum is σ = 4760322048. Its totient is φ = 638568000.

The previous prime is 2144440099. The next prime is 2144440127. The reversal of 2144440122 is 2210444412.

It is a junction number, because it is equal to n+sod(n) for n = 2144440092 and 2144440101.

It is not an unprimeable number, because it can be changed into a prime (2144440127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1972263 + ... + 1973349.

It is an arithmetic number, because the mean of its divisors is an integer number (74380032).

Almost surely, 22144440122 is an apocalyptic number.

2144440122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144440122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380161024).

2144440122 is an abundant number, since it is smaller than the sum of its proper divisors (2615881926).

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

2144440122 is a wasteful number, since it uses less digits than its factorization.

2144440122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595.

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2144440122 is about 46308.0999610219. The cubic root of 2144440122 is about 1289.5493732813.

Adding to 2144440122 its reverse (2210444412), we get a palindrome (4354884534).

The spelling of 2144440122 in words is "two billion, one hundred forty-four million, four hundred forty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 421 426 781 842 1087 1263 1562 2174 2343 2526 3261 4631 4686 6522 9262 11957 13893 23914 27786 29891 35871 59782 71742 77177 89673 154354 179346 231531 328801 457627 463062 657602 848947 915254 986403 1372881 1697894 1972806 2546841 2745762 5033897 5093682 10067794 15101691 30203382 32491517 64983034 97474551 194949102 357406687 714813374 1072220061 2144440122