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2244131201 = 13271363629
BaseRepresentation
bin1000010111000010…
…1011100110000001
312210101201200021102
42011300223212001
514043444144301
61010403304145
7106416541364
oct20560534601
95711650242
102244131201
11a51831a94
1252767b055
13299c136b0
141740880db
15d2037b6b
hex85c2b981

2244131201 has 8 divisors (see below), whose sum is σ = 2417685480. Its totient is φ = 2070709632.

The previous prime is 2244131177. The next prime is 2244131203. The reversal of 2244131201 is 1021314422.

It can be written as a sum of positive squares in 4 ways, for example, as 467424400 + 1776706801 = 21620^2 + 42151^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2244131201 is a prime.

It is a super-3 number, since 3×22441312013 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2244131203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3455 + ... + 67083.

It is an arithmetic number, because the mean of its divisors is an integer number (302210685).

Almost surely, 22244131201 is an apocalyptic number.

It is an amenable number.

2244131201 is a deficient number, since it is larger than the sum of its proper divisors (173554279).

2244131201 is a wasteful number, since it uses less digits than its factorization.

2244131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66355.

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

The square root of 2244131201 is about 47372.2619367072. The cubic root of 2244131201 is about 1309.2304010616.

Adding to 2244131201 its reverse (1021314422), we get a palindrome (3265445623).

The spelling of 2244131201 in words is "two billion, two hundred forty-four million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 13 2713 35269 63629 827177 172625477 2244131201