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2220144311 = 71147613469
BaseRepresentation
bin1000010001010100…
…1011011010110111
312201201121000110002
42010111023122313
514021324104221
61004145221515
7106005625640
oct20425133267
95651530402
102220144311
11a3a239310
1251b63189b
13294c65678
14170c026c7
15ced9a80b
hex8454b6b7

2220144311 has 16 divisors (see below), whose sum is σ = 2826869760. Its totient is φ = 1693171680.

The previous prime is 2220144247. The next prime is 2220144317. The reversal of 2220144311 is 1134410222.

2220144311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2220144311 - 26 = 2220144247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220144317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303116 + ... + 310353.

It is an arithmetic number, because the mean of its divisors is an integer number (176679360).

Almost surely, 22220144311 is an apocalyptic number.

2220144311 is a deficient number, since it is larger than the sum of its proper divisors (606725449).

2220144311 is a wasteful number, since it uses less digits than its factorization.

2220144311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613534.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2220144311 is about 47118.4073478720. The cubic root of 2220144311 is about 1304.5490161788.

Adding to 2220144311 its reverse (1134410222), we get a palindrome (3354554533).

The spelling of 2220144311 in words is "two billion, two hundred twenty million, one hundred forty-four thousand, three hundred eleven".

Divisors: 1 7 11 47 77 329 517 3619 613469 4294283 6748159 28833043 47237113 201831301 317163473 2220144311