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114118248 = 233291131451
BaseRepresentation
bin1101100110101…
…00111001101000
321221201210210210
412303110321220
5213203240443
615153541120
72553663156
oct663247150
9257653723
10114118248
1159464802
12322747a0
131a8479ba
14112283d6
15a042c33
hex6cd4e68

114118248 has 64 divisors (see below), whose sum is σ = 297950400. Its totient is φ = 36377600.

The previous prime is 114118247. The next prime is 114118253. The reversal of 114118248 is 842811411.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (114118241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77923 + ... + 79373.

It is an arithmetic number, because the mean of its divisors is an integer number (4655475).

Almost surely, 2114118248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114118248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148975200).

114118248 is an abundant number, since it is smaller than the sum of its proper divisors (183832152).

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

114118248 is a wasteful number, since it uses less digits than its factorization.

114118248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1598 counting only the distinct ones).

The product of its digits is 2048, while the sum is 30.

The square root of 114118248 is about 10682.6142867746. The cubic root of 114118248 is about 485.0483503007.

Adding to 114118248 its sum of digits (30), we get a triangular number (114118278 = T15107).

Adding to 114118248 its reverse (842811411), we get a palindrome (956929659).

The spelling of 114118248 in words is "one hundred fourteen million, one hundred eighteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 113 116 174 226 232 339 348 452 678 696 904 1356 1451 2712 2902 3277 4353 5804 6554 8706 9831 11608 13108 17412 19662 26216 34824 39324 42079 78648 84158 126237 163963 168316 252474 327926 336632 491889 504948 655852 983778 1009896 1311704 1967556 3935112 4754927 9509854 14264781 19019708 28529562 38039416 57059124 114118248