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112230 = 23252943
BaseRepresentation
bin11011011001100110
312200221200
4123121212
512042410
62223330
7645126
oct333146
9180850
10112230
1177358
1254b46
133c111
142cc86
15233c0
hex1b666

112230 has 48 divisors (see below), whose sum is σ = 308880. Its totient is φ = 28224.

The previous prime is 112223. The next prime is 112237. The reversal of 112230 is 32211.

112230 = 512 + 522 + ... + 772.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112223) and next prime (112237).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112237) by changing a digit.

112230 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2589 + ... + 2631.

It is an arithmetic number, because the mean of its divisors is an integer number (6435).

2112230 is an apocalyptic number.

112230 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 112230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154440).

112230 is an abundant number, since it is smaller than the sum of its proper divisors (196650).

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

112230 is a wasteful number, since it uses less digits than its factorization.

112230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 112230 is about 335.0074626034. The cubic root of 112230 is about 48.2358187180.

Adding to 112230 its reverse (32211), we get a palindrome (144441).

The spelling of 112230 in words is "one hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 43 45 58 86 87 90 129 145 174 215 258 261 290 387 430 435 522 645 774 870 1247 1290 1305 1935 2494 2610 3741 3870 6235 7482 11223 12470 18705 22446 37410 56115 112230