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114216541 = 79218301
BaseRepresentation
bin1101100111011…
…00111001011101
321221220210122021
412303230321131
5213214412131
615200020141
72554552555
oct663547135
9257823567
10114216541
115952163a
1232301651
131a88066a
1411252165
15a061e11
hex6cece5d

114216541 has 6 divisors (see below), whose sum is σ = 115686942. Its totient is φ = 112764600.

The previous prime is 114216539. The next prime is 114216563. The reversal of 114216541 is 145612411.

It can be written as a sum of positive squares in only one way, i.e., 63664441 + 50552100 = 7979^2 + 7110^2 .

It is not a de Polignac number, because 114216541 - 21 = 114216539 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114216511) 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 in 5 ways as a sum of consecutive naturals, for example, 2910 + ... + 15391.

It is an arithmetic number, because the mean of its divisors is an integer number (19281157).

Almost surely, 2114216541 is an apocalyptic number.

It is an amenable number.

114216541 is a deficient number, since it is larger than the sum of its proper divisors (1470401).

114216541 is an frugal number, since it uses more digits than its factorization.

114216541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18459 (or 18380 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 114216541 is about 10687.2139026034. The cubic root of 114216541 is about 485.1875719018.

Adding to 114216541 its reverse (145612411), we get a palindrome (259828952).

The spelling of 114216541 in words is "one hundred fourteen million, two hundred sixteen thousand, five hundred forty-one".

Divisors: 1 79 6241 18301 1445779 114216541