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2188213 is a prime number
BaseRepresentation
bin1000010110001110110101
311010011122221
420112032311
51030010323
6114522341
724412426
oct10261665
94104587
102188213
111265045
128963b1
135b8001
1440d64d
152d355d
hex2163b5

2188213 has 2 divisors, whose sum is σ = 2188214. Its totient is φ = 2188212.

The previous prime is 2188181. The next prime is 2188231. The reversal of 2188213 is 3128812.

2188213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (2188231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1830609 + 357604 = 1353^2 + 598^2 .

It is a cyclic number.

It is not a de Polignac number, because 2188213 - 25 = 2188181 is a prime.

It is a super-3 number, since 3×21882133 = 31433304247883338791, which contains 333 as substring. Note that it is a super-d number also for d = 2.

2188213 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2188283) 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 as a sum of consecutive naturals, namely, 1094106 + 1094107.

It is an arithmetic number, because the mean of its divisors is an integer number (1094107).

22188213 is an apocalyptic number.

It is an amenable number.

2188213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2188213 is an equidigital number, since it uses as much as digits as its factorization.

2188213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 25.

The square root of 2188213 is about 1479.2609641304. The cubic root of 2188213 is about 129.8264548172.

It can be divided in two parts, 2188 and 213, that added together give a 4-th power (2401 = 74).

The spelling of 2188213 in words is "two million, one hundred eighty-eight thousand, two hundred thirteen".