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112203252 = 22337193769
BaseRepresentation
bin1101011000000…
…01010111110100
321211010111221000
412230001113310
5212211001002
615044523300
72531466120
oct654012764
9254114830
10112203252
1158376a67
12316b0530
131a327175
1410c8a580
159cb561c
hex6b015f4

112203252 has 96 divisors (see below), whose sum is σ = 334611200. Its totient is φ = 31850496.

The previous prime is 112203239. The next prime is 112203253. The reversal of 112203252 is 252302211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112203253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145524 + ... + 146292.

Almost surely, 2112203252 is an apocalyptic number.

112203252 is a gapful number since it is divisible by the number (12) 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 112203252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167305600).

112203252 is an abundant number, since it is smaller than the sum of its proper divisors (222407948).

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

112203252 is a wasteful number, since it uses less digits than its factorization.

112203252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 112203252 is about 10592.6036459409. The cubic root of 112203252 is about 482.3198636717.

Adding to 112203252 its reverse (252302211), we get a palindrome (364505463).

The spelling of 112203252 in words is "one hundred twelve million, two hundred three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 193 252 378 386 579 756 769 772 1158 1351 1538 1737 2307 2316 2702 3076 3474 4053 4614 5211 5383 5404 6921 6948 8106 9228 10422 10766 12159 13842 16149 16212 20763 20844 21532 24318 27684 32298 36477 41526 48447 48636 64596 72954 83052 96894 145341 145908 148417 193788 290682 296834 445251 581364 593668 890502 1038919 1335753 1781004 2077838 2671506 3116757 4007259 4155676 5343012 6233514 8014518 9350271 12467028 16029036 18700542 28050813 37401084 56101626 112203252