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229393 is a prime number
BaseRepresentation
bin111000000000010001
3102122200001
4320000101
524320033
64530001
71643533
oct700021
9378601
10229393
1114738a
12b0901
1380548
145d853
1547e7d
hex38011

229393 has 2 divisors, whose sum is σ = 229394. Its totient is φ = 229392.

The previous prime is 229373. The next prime is 229399. The reversal of 229393 is 393922.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199809 + 29584 = 447^2 + 172^2 .

It is a cyclic number.

It is not a de Polignac number, because 229393 - 29 = 228881 is a prime.

It is a super-2 number, since 2×2293932 = 105242296898, which contains 22 as substring.

229393 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (229399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 114696 + 114697.

It is an arithmetic number, because the mean of its divisors is an integer number (114697).

2229393 is an apocalyptic number.

It is an amenable number.

229393 is a deficient number, since it is larger than the sum of its proper divisors (1).

229393 is an equidigital number, since it uses as much as digits as its factorization.

229393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 28.

The square root of 229393 is about 478.9498929951. The cubic root of 229393 is about 61.2153100802.

The spelling of 229393 in words is "two hundred twenty-nine thousand, three hundred ninety-three".