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233705141 is a prime number
BaseRepresentation
bin11011110111000…
…00111010110101
3121021202110011222
431323200322311
5434312031031
635105040125
75535314045
oct1573407265
9537673158
10233705141
1110aa1414a
1266326045
1339558887
1423077725
15157b5e7b
hexdee0eb5

233705141 has 2 divisors, whose sum is σ = 233705142. Its totient is φ = 233705140.

The previous prime is 233705083. The next prime is 233705167. The reversal of 233705141 is 141507332.

It is an a-pointer prime, because the next prime (233705167) can be obtained adding 233705141 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173580625 + 60124516 = 13175^2 + 7754^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233705141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 233705141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233705041) 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, 116852570 + 116852571.

It is an arithmetic number, because the mean of its divisors is an integer number (116852571).

Almost surely, 2233705141 is an apocalyptic number.

It is an amenable number.

233705141 is a deficient number, since it is larger than the sum of its proper divisors (1).

233705141 is an equidigital number, since it uses as much as digits as its factorization.

233705141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 233705141 is about 15287.4177348563. The cubic root of 233705141 is about 615.9650752182.

The spelling of 233705141 in words is "two hundred thirty-three million, seven hundred five thousand, one hundred forty-one".