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2210211133 = 132922925601
BaseRepresentation
bin1000001110111101…
…0010010100111101
312201000220100200121
42003233102110331
514011303224013
61003152254541
7105525325144
oct20357222475
95630810617
102210211133
11a34674379
12518241451
13292b98350
1416d77875b
15ce08758d
hex83bd253d

2210211133 has 16 divisors (see below), whose sum is σ = 2473153200. Its totient is φ = 1961164800.

The previous prime is 2210211131. The next prime is 2210211139. The reversal of 2210211133 is 3311120122.

It can be written as a sum of positive squares in 8 ways, for example, as 441756324 + 1768454809 = 21018^2 + 42053^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210211133 - 21 = 2210211131 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210211131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 73533 + ... + 99133.

It is an arithmetic number, because the mean of its divisors is an integer number (154572075).

Almost surely, 22210211133 is an apocalyptic number.

It is an amenable number.

2210211133 is a deficient number, since it is larger than the sum of its proper divisors (262942067).

2210211133 is a wasteful number, since it uses less digits than its factorization.

2210211133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25872.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2210211133 is about 47012.8826280627. The cubic root of 2210211133 is about 1302.6005405227.

Adding to 2210211133 its reverse (3311120122), we get a palindrome (5521331255).

The spelling of 2210211133 in words is "two billion, two hundred ten million, two hundred eleven thousand, one hundred thirty-three".

Divisors: 1 13 29 229 377 2977 6641 25601 86333 332813 742429 5862629 9651577 76214177 170016241 2210211133