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312240233 is a prime number
BaseRepresentation
bin10010100111000…
…110100001101001
3210202112110002002
4102213012201221
51114413141413
650552220345
710510666244
oct2247064151
9722473062
10312240233
11150284788
128869a6b5
134c8c5246
142d67c25b
151c62a958
hex129c6869

312240233 has 2 divisors, whose sum is σ = 312240234. Its totient is φ = 312240232.

The previous prime is 312240221. The next prime is 312240251. The reversal of 312240233 is 332042213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308810329 + 3429904 = 17573^2 + 1852^2 .

It is an emirp because it is prime and its reverse (332042213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312240233 - 26 = 312240169 is a prime.

It is not a weakly prime, because it can be changed into another prime (312240293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156120116 + 156120117.

It is an arithmetic number, because the mean of its divisors is an integer number (156120117).

Almost surely, 2312240233 is an apocalyptic number.

It is an amenable number.

312240233 is a deficient number, since it is larger than the sum of its proper divisors (1).

312240233 is an equidigital number, since it uses as much as digits as its factorization.

312240233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 312240233 is about 17670.3206818665. The cubic root of 312240233 is about 678.4163210585.

Adding to 312240233 its reverse (332042213), we get a palindrome (644282446).

The spelling of 312240233 in words is "three hundred twelve million, two hundred forty thousand, two hundred thirty-three".