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2213731 = 13213099
BaseRepresentation
bin1000011100011101100011
311011110200001
420130131203
51031314411
6115240431
724550012
oct10343543
94143601
102213731
111282233
128a9117
135c6800
14418a79
152dadc1
hex21c763

2213731 has 6 divisors (see below), whose sum is σ = 2397300. Its totient is φ = 2043288.

The previous prime is 2213711. The next prime is 2213759. The reversal of 2213731 is 1373122.

2213731 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2213731 - 25 = 2213699 is a prime.

It is a super-2 number, since 2×22137312 = 9801209880722, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

2213731 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2213699 and 2213708.

It is not an unprimeable number, because it can be changed into a prime (2213711) 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 5 ways as a sum of consecutive naturals, for example, 6381 + ... + 6718.

It is an arithmetic number, because the mean of its divisors is an integer number (399550).

22213731 is an apocalyptic number.

2213731 is a deficient number, since it is larger than the sum of its proper divisors (183569).

2213731 is a wasteful number, since it uses less digits than its factorization.

2213731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13125 (or 13112 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 2213731 is about 1487.8612166462. The cubic root of 2213731 is about 130.3291658339.

Adding to 2213731 its reverse (1373122), we get a palindrome (3586853).

The spelling of 2213731 in words is "two million, two hundred thirteen thousand, seven hundred thirty-one".

Divisors: 1 13 169 13099 170287 2213731