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114624667 is a prime number
BaseRepresentation
bin1101101010100…
…00100010011011
321222200112111001
412311100202123
5213320442132
615212445431
72561202463
oct665204233
9258615431
10114624667
1159780233
1232479877
131a994361
141131aba3
15a0e2ce7
hex6d5089b

114624667 has 2 divisors, whose sum is σ = 114624668. Its totient is φ = 114624666.

The previous prime is 114624611. The next prime is 114624691. The reversal of 114624667 is 766426411.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114624667 is a prime.

It is not a weakly prime, because it can be changed into another prime (114624067) 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, 57312333 + 57312334.

It is an arithmetic number, because the mean of its divisors is an integer number (57312334).

Almost surely, 2114624667 is an apocalyptic number.

114624667 is a deficient number, since it is larger than the sum of its proper divisors (1).

114624667 is an equidigital number, since it uses as much as digits as its factorization.

114624667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 37.

The square root of 114624667 is about 10706.2910010890. The cubic root of 114624667 is about 485.7647862346.

It can be divided in two parts, 11462 and 4667, that added together give a square (16129 = 1272).

The spelling of 114624667 in words is "one hundred fourteen million, six hundred twenty-four thousand, six hundred sixty-seven".