Search a number
-
+
2220207281296 = 2443286632
BaseRepresentation
bin100000010011101110101…
…010101001010010010000
321212020202001200210012021
4200103232222221102100
5242333441031000141
64415541003141224
7316255543340434
oct40235652512220
97766661623167
102220207281296
11786648147564
122ba35ab14814
13131498194714
147965c5b29c4
153cb454b46d1
hex204eeaa9490

2220207281296 has 45 divisors (see below), whose sum is σ = 4404524921139. Its totient is φ = 1084162113888.

The previous prime is 2220207281261. The next prime is 2220207281317. The reversal of 2220207281296 is 6921827020222.

The square root of 2220207281296 is 1490036.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 256281861 + ... + 256290523.

Almost surely, 22220207281296 is an apocalyptic number.

2220207281296 is the 1490036-th square number.

It is an amenable number.

2220207281296 is a deficient number, since it is larger than the sum of its proper divisors (2184317639843).

2220207281296 is an frugal number, since it uses more digits than its factorization.

2220207281296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17420 (or 8708 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 2220207281296 in words is "two trillion, two hundred twenty billion, two hundred seven million, two hundred eighty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 43 86 172 344 688 1849 3698 7396 8663 14792 17326 29584 34652 69304 138608 372509 745018 1490036 2980072 5960144 16017887 32035774 64071548 75047569 128143096 150095138 256286192 300190276 600380552 1200761104 3227045467 6454090934 12908181868 25816363736 51632727472 138762955081 277525910162 555051820324 1110103640648 2220207281296