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114237337 = 2292332141
BaseRepresentation
bin1101100111100…
…01111110011001
321221221212011111
412303301332121
5213221043322
615200300321
72555000314
oct663617631
9257855144
10114237337
1159536225
12323116a1
131a889c76
141125997b
15a068177
hex6cf1f99

114237337 has 8 divisors (see below), whose sum is σ = 115282440. Its totient is φ = 113197440.

The previous prime is 114237311. The next prime is 114237349. The reversal of 114237337 is 733732411.

It can be written as a sum of positive squares in 4 ways, for example, as 56310016 + 57927321 = 7504^2 + 7611^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 114237337 - 215 = 114204569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114237299 and 114237308.

It is not an unprimeable number, because it can be changed into a prime (114237377) 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 7 ways as a sum of consecutive naturals, for example, 52287 + ... + 54427.

It is an arithmetic number, because the mean of its divisors is an integer number (14410305).

Almost surely, 2114237337 is an apocalyptic number.

It is an amenable number.

114237337 is a deficient number, since it is larger than the sum of its proper divisors (1045103).

114237337 is a wasteful number, since it uses less digits than its factorization.

114237337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603.

The product of its digits is 10584, while the sum is 31.

The square root of 114237337 is about 10688.1867966461. The cubic root of 114237337 is about 485.2170169902.

Adding to 114237337 its reverse (733732411), we get a palindrome (847969748).

The spelling of 114237337 in words is "one hundred fourteen million, two hundred thirty-seven thousand, three hundred thirty-seven".

Divisors: 1 229 233 2141 53357 490289 498853 114237337