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114222000231 = 3410912937139
BaseRepresentation
bin110101001100000101…
…0010110100001100111
3101220211022211210220000
41222120022112201213
53332411313001411
6124250045512343
711152345661013
oct1523012264147
9356738753800
10114222000231
11444943833a9
121a1788726b3
13aa041095b1
145757c05543
152e87ac0956
hex1a98296867

114222000231 has 20 divisors (see below), whose sum is σ = 172193333400. Its totient is φ = 75449388816.

The previous prime is 114222000173. The next prime is 114222000253. The reversal of 114222000231 is 132000222411.

It is a happy number.

114222000231 is a `hidden beast` number, since 11 + 422 + 2 + 0 + 0 + 0 + 231 = 666.

It is not a de Polignac number, because 114222000231 - 27 = 114222000103 is a prime.

It is a super-3 number, since 3×1142220002313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114222000271) 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 19 ways as a sum of consecutive naturals, for example, 6459741 + ... + 6477398.

It is an arithmetic number, because the mean of its divisors is an integer number (8609666670).

Almost surely, 2114222000231 is an apocalyptic number.

114222000231 is a deficient number, since it is larger than the sum of its proper divisors (57971333169).

114222000231 is a wasteful number, since it uses less digits than its factorization.

114222000231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12937260 (or 12937251 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114222000231 its reverse (132000222411), we get a palindrome (246222222642).

The spelling of 114222000231 in words is "one hundred fourteen billion, two hundred twenty-two million, two hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 27 81 109 327 981 2943 8829 12937139 38811417 116434251 349302753 1047908259 1410148151 4230444453 12691333359 38074000077 114222000231