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112252 = 22719211
BaseRepresentation
bin11011011001111100
312200222111
4123121330
512043002
62223404
7645160
oct333174
9180874
10112252
1177378
1254b64
133c12a
142cca0
15233d7
hex1b67c

112252 has 24 divisors (see below), whose sum is σ = 237440. Its totient is φ = 45360.

The previous prime is 112249. The next prime is 112253. The reversal of 112252 is 252211.

112252 is a modest number, since divided by 252 gives 112 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427 + ... + 637.

2112252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118720).

112252 is an abundant number, since it is smaller than the sum of its proper divisors (125188).

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

112252 is a wasteful number, since it uses less digits than its factorization.

112252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its digits is 40, while the sum is 13.

The square root of 112252 is about 335.0402960839. The cubic root of 112252 is about 48.2389703372.

Adding to 112252 its reverse (252211), we get a palindrome (364463).

It can be divided in two parts, 112 and 252, that multiplied together give a square (28224 = 1682).

The spelling of 112252 in words is "one hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 211 266 422 532 844 1477 2954 4009 5908 8018 16036 28063 56126 112252