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2210595055249 = 7419215972
BaseRepresentation
bin100000001010110001101…
…110111010011010010001
321211022221011121002221011
4200022301232322122101
5242204244313231444
64411311111530521
7315465414640000
oct40126156723221
97738834532834
102210595055249
11782565307899
122b8517989a41
131305c59279b9
1478dc9b50c37
153c7816a2734
hex202b1bba691

2210595055249 has 45 divisors (see below), whose sum is σ = 2723453382267. Its totient is φ = 1793945642832.

The previous prime is 2210595055237. The next prime is 2210595055373. The reversal of 2210595055249 is 9425505950122.

It is a happy number.

The square root of 2210595055249 is 1486807.

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

It can be written as a sum of positive squares in only one way, i.e., 443109892225 + 1767485163024 = 665665^2 + 1329468^2 .

It is not a de Polignac number, because 2210595055249 - 211 = 2210595053201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2210595055219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1384216519 + ... + 1384218115.

Almost surely, 22210595055249 is an apocalyptic number.

2210595055249 is the 1486807-th square number.

2210595055249 is the 743404-th centered octagonal number.

It is an amenable number.

2210595055249 is a deficient number, since it is larger than the sum of its proper divisors (512858327018).

2210595055249 is an frugal number, since it uses more digits than its factorization.

2210595055249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 49.

Multiplying 2210595055249 by its sum of digits (49), we get a square (108319157707201 = 104076492).

2210595055249 divided by its sum of digits (49) gives a square (45114184801 = 2124012).

The spelling of 2210595055249 in words is "two trillion, two hundred ten billion, five hundred ninety-five million, fifty-five thousand, two hundred forty-nine".

Divisors: 1 7 19 49 133 343 361 931 1597 2401 2527 6517 11179 17689 30343 45619 78253 123823 212401 547771 576517 866761 1486807 2550409 3834397 4035619 10407649 17852863 28249333 48457771 72853543 124970041 197745331 339204397 874790287 920697649 1384217317 2374430779 6123532009 6444883543 16621015453 45114184801 116347108171 315799293607 2210595055249