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114330150 = 23352117699
BaseRepresentation
bin1101101000010…
…00101000100110
321222010120111000
412310020220212
5213232031100
615202254130
72555535024
oct664105046
9258116430
10114330150
1159599a30
1232357346
131a8c029c
1411281714
15a085900
hex6d08a26

114330150 has 96 divisors (see below), whose sum is σ = 343728000. Its totient is φ = 27712800.

The previous prime is 114330121. The next prime is 114330157. The reversal of 114330150 is 51033411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114330157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11001 + ... + 18699.

It is an arithmetic number, because the mean of its divisors is an integer number (3580500).

Almost surely, 2114330150 is an apocalyptic number.

114330150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114330150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864000).

114330150 is an abundant number, since it is smaller than the sum of its proper divisors (229397850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114330150 is a wasteful number, since it uses less digits than its factorization.

114330150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7731 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 114330150 is about 10692.5277647524. The cubic root of 114330150 is about 485.3483875137.

Adding to 114330150 its reverse (51033411), we get a palindrome (165363561).

The spelling of 114330150 in words is "one hundred fourteen million, three hundred thirty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 135 150 165 198 225 270 275 297 330 450 495 550 594 675 825 990 1350 1485 1650 2475 2970 4950 7425 7699 14850 15398 23097 38495 46194 69291 76990 84689 115485 138582 169378 192475 207873 230970 254067 346455 384950 415746 423445 508134 577425 692910 762201 846890 1039365 1154850 1270335 1524402 1732275 2078730 2117225 2286603 2540670 3464550 3811005 4234450 4573206 5196825 6351675 7622010 10393650 11433015 12703350 19055025 22866030 38110050 57165075 114330150