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2144222320 = 24526802779
BaseRepresentation
bin111111111001110…
…0011110001110000
312112102201210001111
41333303203301300
513342410103240
6552434043104
7104064406012
oct17763436160
95472653044
102144222320
11a003a2a69
124ba119494
13282302506
14164abc1b2
15c83a01ea
hex7fce3c70

2144222320 has 20 divisors (see below), whose sum is σ = 4985317080. Its totient is φ = 857688896.

The previous prime is 2144222317. The next prime is 2144222321. The reversal of 2144222320 is 232224412.

It is a tau number, because it is divible by the number of its divisors (20).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2144222291 and 2144222300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144222321) 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 3 ways as a sum of consecutive naturals, for example, 13401310 + ... + 13401469.

It is an arithmetic number, because the mean of its divisors is an integer number (249265854).

Almost surely, 22144222320 is an apocalyptic number.

2144222320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144222320 is an abundant number, since it is smaller than the sum of its proper divisors (2841094760).

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

2144222320 is a wasteful number, since it uses less digits than its factorization.

2144222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26802792 (or 26802786 counting only the distinct ones).

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

The square root of 2144222320 is about 46305.7482392845. The cubic root of 2144222320 is about 1289.5057137204.

Adding to 2144222320 its reverse (232224412), we get a palindrome (2376446732).

The spelling of 2144222320 in words is "two billion, one hundred forty-four million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26802779 53605558 107211116 134013895 214422232 268027790 428844464 536055580 1072111160 2144222320