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114531150 = 235229113233
BaseRepresentation
bin1101101001110…
…01101101001110
321222111210012110
412310321231032
5213304444100
615210444450
72560333026
oct664715516
9258453173
10114531150
1159716a48
1232433726
131a960916
14112d4a86
15a0c5250
hex6d39b4e

114531150 has 96 divisors (see below), whose sum is σ = 297704160. Its totient is φ = 29102080.

The previous prime is 114531139. The next prime is 114531161. The reversal of 114531150 is 51135411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114531139) and next prime (114531161).

It is a super-3 number, since 3×1145311503 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491434 + ... + 491666.

It is an arithmetic number, because the mean of its divisors is an integer number (3101085).

Almost surely, 2114531150 is an apocalyptic number.

114531150 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 114531150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148852080).

114531150 is an abundant number, since it is smaller than the sum of its proper divisors (183173010).

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

114531150 is a wasteful number, since it uses less digits than its factorization.

114531150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 114531150 is about 10701.9227244454. The cubic root of 114531150 is about 485.6326459013.

Adding to 114531150 its reverse (51135411), we get a palindrome (165666561).

The spelling of 114531150 in words is "one hundred fourteen million, five hundred thirty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 113 145 150 174 226 233 290 339 435 466 565 678 699 725 870 1130 1165 1398 1450 1695 2175 2330 2825 3277 3390 3495 4350 5650 5825 6554 6757 6990 8475 9831 11650 13514 16385 16950 17475 19662 20271 26329 32770 33785 34950 40542 49155 52658 67570 78987 81925 98310 101355 131645 157974 163850 168925 202710 245775 263290 337850 394935 491550 506775 658225 763541 789870 1013550 1316450 1527082 1974675 2290623 3817705 3949350 4581246 7635410 11453115 19088525 22906230 38177050 57265575 114531150