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230414381 is a prime number
BaseRepresentation
bin11011011101111…
…01100000101101
3121001120021002222
431232331200231
5432441230011
634510325125
75465330021
oct1556754055
9531507088
10230414381
1110907680a
12651b97a5
1338975a92
142285c381
1515365ddb
hexdbbd82d

230414381 has 2 divisors, whose sum is σ = 230414382. Its totient is φ = 230414380.

The previous prime is 230414363. The next prime is 230414441. The reversal of 230414381 is 183414032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151044100 + 79370281 = 12290^2 + 8909^2 .

It is a cyclic number.

It is not a de Polignac number, because 230414381 - 222 = 226220077 is a prime.

It is a super-3 number, since 3×2304143813 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 230414381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (230414341) 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 as a sum of consecutive naturals, namely, 115207190 + 115207191.

It is an arithmetic number, because the mean of its divisors is an integer number (115207191).

Almost surely, 2230414381 is an apocalyptic number.

It is an amenable number.

230414381 is a deficient number, since it is larger than the sum of its proper divisors (1).

230414381 is an equidigital number, since it uses as much as digits as its factorization.

230414381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 230414381 is about 15179.4064771980. The cubic root of 230414381 is about 613.0603006216.

The spelling of 230414381 in words is "two hundred thirty million, four hundred fourteen thousand, three hundred eighty-one".