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112248 = 23321559
BaseRepresentation
bin11011011001111000
312200222100
4123121320
512042443
62223400
7645153
oct333170
9180870
10112248
1177374
1254b60
133c126
142cc9a
15233d3
hex1b678

112248 has 24 divisors (see below), whose sum is σ = 304200. Its totient is φ = 37392.

The previous prime is 112247. The next prime is 112249. The reversal of 112248 is 842211.

It is an interprime number because it is at equal distance from previous prime (112247) and next prime (112249).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1122482 = 25199227008, which contains 22 as substring.

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

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

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 112248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 708 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (12675).

2112248 is an apocalyptic number.

112248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112248 is an abundant number, since it is smaller than the sum of its proper divisors (191952).

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

112248 is a wasteful number, since it uses less digits than its factorization.

112248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1564 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 112248 is about 335.0343265995. The cubic root of 112248 is about 48.2383973462.

Adding to 112248 its reverse (842211), we get a palindrome (954459).

The spelling of 112248 in words is "one hundred twelve thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1559 3118 4677 6236 9354 12472 14031 18708 28062 37416 56124 112248