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2144044200 = 233527945233
BaseRepresentation
bin111111111001011…
…1000010010101000
312112102101201201110
41333302320102220
513342333403300
6552430150320
7104063034504
oct17762702250
95472351643
102144044200
11a00291161
124ba0523a0
1328226c40c
14164a73304
15c8367550
hex7fcb84a8

2144044200 has 96 divisors (see below), whose sum is σ = 6730819200. Its totient is φ = 564495360.

The previous prime is 2144044193. The next prime is 2144044219. The reversal of 2144044200 is 24404412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24784 + ... + 70016.

It is an arithmetic number, because the mean of its divisors is an integer number (70112700).

Almost surely, 22144044200 is an apocalyptic number.

2144044200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365409600).

2144044200 is an abundant number, since it is smaller than the sum of its proper divisors (4586775000).

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

2144044200 is a wasteful number, since it uses less digits than its factorization.

2144044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45331 (or 45322 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2144044200 is about 46303.8248960062. The cubic root of 2144044200 is about 1289.4700064283.

Adding to 2144044200 its reverse (24404412), we get a palindrome (2168448612).

The spelling of 2144044200 in words is "two billion, one hundred forty-four million, forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 120 150 158 200 237 300 316 395 474 600 632 790 948 1185 1580 1896 1975 2370 3160 3950 4740 5925 7900 9480 11850 15800 23700 45233 47400 90466 135699 180932 226165 271398 361864 452330 542796 678495 904660 1085592 1130825 1356990 1809320 2261650 2713980 3392475 3573407 4523300 5427960 6784950 7146814 9046600 10720221 13569900 14293628 17867035 21440442 27139800 28587256 35734070 42880884 53601105 71468140 85761768 89335175 107202210 142936280 178670350 214404420 268005525 357340700 428808840 536011050 714681400 1072022100 2144044200