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114285237 = 311171012017
BaseRepresentation
bin1101100111111…
…01101010110101
321222001021212120
412303331222311
5213224111422
615201310153
72555260053
oct663755265
9258037776
10114285237
1159569210
1232335359
131a8a5a01
141126d1d3
15a07745c
hex6cfdab5

114285237 has 32 divisors (see below), whose sum is σ = 177842304. Its totient is φ = 64512000.

The previous prime is 114285233. The next prime is 114285239. The reversal of 114285237 is 732582411.

It is not a de Polignac number, because 114285237 - 22 = 114285233 is a prime.

It is a super-2 number, since 2×1142852372 = 26122230792292338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 114285198 and 114285207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114285233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55653 + ... + 57669.

It is an arithmetic number, because the mean of its divisors is an integer number (5557572).

Almost surely, 2114285237 is an apocalyptic number.

114285237 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

114285237 is a deficient number, since it is larger than the sum of its proper divisors (63557067).

114285237 is a wasteful number, since it uses less digits than its factorization.

114285237 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149.

The product of its digits is 13440, while the sum is 33.

The square root of 114285237 is about 10690.4273534784. The cubic root of 114285237 is about 485.2848250817.

The spelling of 114285237 in words is "one hundred fourteen million, two hundred eighty-five thousand, two hundred thirty-seven".

Divisors: 1 3 11 17 33 51 101 187 303 561 1111 1717 2017 3333 5151 6051 18887 22187 34289 56661 66561 102867 203717 377179 611151 1131537 2240887 3463189 6722661 10389567 38095079 114285237