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112212 = 22331039
BaseRepresentation
bin11011011001010100
312200221000
4123121110
512042322
62223300
7645102
oct333124
9180830
10112212
1177341
1254b30
133c0c9
142cc72
15233ac
hex1b654

112212 has 24 divisors (see below), whose sum is σ = 291200. Its totient is φ = 37368.

The previous prime is 112207. The next prime is 112213. The reversal of 112212 is 212211.

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

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

It is a plaindrome in base 15.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 112194 and 112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112213) by changing a digit.

112212 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 7 ways as a sum of consecutive naturals, for example, 412 + ... + 627.

2112212 is an apocalyptic number.

112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112212 is an abundant number, since it is smaller than the sum of its proper divisors (178988).

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

112212 is a wasteful number, since it uses less digits than its factorization.

112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1044 counting only the distinct ones).

The product of its digits is 8, while the sum is 9.

The square root of 112212 is about 334.9805964530. The cubic root of 112212 is about 48.2332398141.

Adding to 112212 its reverse (212211), we get a palindrome (324423).

Subtracting 112212 from its reverse (212211), we obtain a palindrome (99999).

It can be divided in two parts, 112 and 212, that added together give a square (324 = 182).

The spelling of 112212 in words is "one hundred twelve thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1039 2078 3117 4156 6234 9351 12468 18702 28053 37404 56106 112212