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114241230 = 232523229241
BaseRepresentation
bin1101100111100…
…10111011001110
321221222001111200
412303302323032
5213221204410
615200330330
72555014545
oct663627316
9257861450
10114241230
1159539144
12323139a6
131a88b97c
141125b15c
15a0693c0
hex6cf2ece

114241230 has 96 divisors (see below), whose sum is σ = 312586560. Its totient is φ = 28892160.

The previous prime is 114241229. The next prime is 114241249. The reversal of 114241230 is 32142411.

114241230 is a `hidden beast` number, since 11 + 424 + 1 + 230 = 666.

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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 473910 + ... + 474150.

It is an arithmetic number, because the mean of its divisors is an integer number (3256110).

Almost surely, 2114241230 is an apocalyptic number.

114241230 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 114241230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156293280).

114241230 is an abundant number, since it is smaller than the sum of its proper divisors (198345330).

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

114241230 is a wasteful number, since it uses less digits than its factorization.

114241230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 503 counting only the distinct ones).

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

The square root of 114241230 is about 10688.3689120464. The cubic root of 114241230 is about 485.2225286978. Note that the first 3 decimals are identical.

Adding to 114241230 its reverse (32142411), we get a palindrome (146383641).

The spelling of 114241230 in words is "one hundred fourteen million, two hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 229 230 241 345 414 458 482 687 690 723 1035 1145 1205 1374 1446 2061 2070 2169 2290 2410 3435 3615 4122 4338 5267 5543 6870 7230 10305 10534 10845 11086 15801 16629 20610 21690 26335 27715 31602 33258 47403 49887 52670 55189 55430 79005 83145 94806 99774 110378 158010 165567 166290 237015 249435 275945 331134 474030 496701 498870 551890 827835 993402 1269347 1655670 2483505 2538694 3808041 4967010 6346735 7616082 11424123 12693470 19040205 22848246 38080410 57120615 114241230