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112200 = 233521117
BaseRepresentation
bin11011011001001000
312200220120
4123121020
512042300
62223240
7645054
oct333110
9180816
10112200
1177330
1254b20
133c0ba
142cc64
15233a0
hex1b648

112200 has 96 divisors (see below), whose sum is σ = 401760. Its totient is φ = 25600.

The previous prime is 112199. The next prime is 112207. The reversal of 112200 is 2211.

Adding to 112200 its reverse (2211), we get a palindrome (114411).

It can be divided in two parts, 11 and 2200, that added together give a triangular number (2211 = T66).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 8 and base 11.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6592 + ... + 6608.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

2112200 is an apocalyptic number.

112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

112200 is an abundant number, since it is smaller than the sum of its proper divisors (289560).

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

112200 is a wasteful number, since it uses less digits than its factorization.

112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 112200 is about 334.9626844889. The cubic root of 112200 is about 48.2315203916.

The spelling of 112200 in words is "one hundred twelve thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 25 30 33 34 40 44 50 51 55 60 66 68 75 85 88 100 102 110 120 132 136 150 165 170 187 200 204 220 255 264 275 300 330 340 374 408 425 440 510 550 561 600 660 680 748 825 850 935 1020 1100 1122 1275 1320 1496 1650 1700 1870 2040 2200 2244 2550 2805 3300 3400 3740 4488 4675 5100 5610 6600 7480 9350 10200 11220 14025 18700 22440 28050 37400 56100 112200