[go: up one dir, main page]

Search a number
-
+
2144312250 = 235322312821
BaseRepresentation
bin111111111001111…
…1001101110111010
312112102220100102020
41333303321232322
513342420443000
6552440015310
7104065232133
oct17763715672
95472810366
102144312250
11a00454593
124ba161536
13282334422
14164b02c8a
15c83bbba0
hex7fcf9bba

2144312250 has 64 divisors (see below), whose sum is σ = 5376623616. Its totient is φ = 569208000.

The previous prime is 2144312243. The next prime is 2144312257. The reversal of 2144312250 is 522134412.

It is an interprime number because it is at equal distance from previous prime (2144312243) and next prime (2144312257).

It is a self number, because there is not a number n which added to its sum of digits gives 2144312250.

It is not an unprimeable number, because it can be changed into a prime (2144312257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160840 + ... + 173660.

It is an arithmetic number, because the mean of its divisors is an integer number (84009744).

Almost surely, 22144312250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144312250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688311808).

2144312250 is an abundant number, since it is smaller than the sum of its proper divisors (3232311366).

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

2144312250 is a wasteful number, since it uses less digits than its factorization.

2144312250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13064 (or 13054 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2144312250 is about 46306.7192748525. The cubic root of 2144312250 is about 1289.5237410221.

Adding to 2144312250 its reverse (522134412), we get a palindrome (2666446662).

The spelling of 2144312250 in words is "two billion, one hundred forty-four million, three hundred twelve thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 223 250 375 446 669 750 1115 1338 2230 3345 5575 6690 11150 12821 16725 25642 27875 33450 38463 55750 64105 76926 83625 128210 167250 192315 320525 384630 641050 961575 1602625 1923150 2859083 3205250 4807875 5718166 8577249 9615750 14295415 17154498 28590830 42886245 71477075 85772490 142954150 214431225 357385375 428862450 714770750 1072156125 2144312250