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2200212233 = 17416151749
BaseRepresentation
bin1000001100100100…
…1001001100001001
312200100002100202222
42003021021030021
514001223242413
61002154103425
7105344331632
oct20311111411
95610070688
102200212233
11a29a6501a
12514a1ab75
13290aa713b
1416c2d4889
15cd25eb08
hex83249309

2200212233 has 16 divisors (see below), whose sum is σ = 2425626000. Its totient is φ = 1987123200.

The previous prime is 2200212187. The next prime is 2200212241. The reversal of 2200212233 is 3322120022.

It can be written as a sum of positive squares in 8 ways, for example, as 235683904 + 1964528329 = 15352^2 + 44323^2 .

It is not a de Polignac number, because 2200212233 - 214 = 2200195849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2200212533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16643 + ... + 68391.

It is an arithmetic number, because the mean of its divisors is an integer number (151601625).

Almost surely, 22200212233 is an apocalyptic number.

It is an amenable number.

2200212233 is a deficient number, since it is larger than the sum of its proper divisors (225413767).

2200212233 is a wasteful number, since it uses less digits than its factorization.

2200212233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51868.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2200212233 is about 46906.4199550552. The cubic root of 2200212233 is about 1300.6332679952.

Adding to 2200212233 its reverse (3322120022), we get a palindrome (5522332255).

The spelling of 2200212233 in words is "two billion, two hundred million, two hundred twelve thousand, two hundred thirty-three".

Divisors: 1 17 41 61 697 1037 2501 42517 51749 879733 2121709 3156689 36069053 53663713 129424249 2200212233