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112014252 = 22357101163
BaseRepresentation
bin1101010110100…
…11001110101100
321210202220200000
412223103032230
5212133424002
615040504300
72530051110
oct653231654
9253686600
10112014252
1158257a69
123161b090
131a28c12c
1410c3b740
159c7961c
hex6ad33ac

112014252 has 144 divisors (see below), whose sum is σ = 340983552. Its totient is φ = 31492800.

The previous prime is 112014247. The next prime is 112014271. The reversal of 112014252 is 252410211.

It is a super-2 number, since 2×1120142522 = 25094385302239008, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687123 + ... + 687285.

Almost surely, 2112014252 is an apocalyptic number.

112014252 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 112014252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170491776).

112014252 is an abundant number, since it is smaller than the sum of its proper divisors (228969300).

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

112014252 is a wasteful number, since it uses less digits than its factorization.

112014252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 112014252 is about 10583.6785665476. The cubic root of 112014252 is about 482.0488980081.

Adding to 112014252 its reverse (252410211), we get a palindrome (364424463).

The spelling of 112014252 in words is "one hundred twelve million, fourteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 101 108 126 162 163 189 202 243 252 303 324 326 378 404 486 489 567 606 652 707 756 909 972 978 1134 1141 1212 1414 1467 1701 1818 1956 2121 2268 2282 2727 2828 2934 3402 3423 3636 4242 4401 4564 5454 5868 6363 6804 6846 8181 8484 8802 10269 10908 12726 13203 13692 16362 16463 17604 19089 20538 24543 25452 26406 30807 32724 32926 38178 39609 41076 49086 49389 52812 57267 61614 65852 76356 79218 92421 98172 98778 114534 115241 123228 148167 158436 171801 184842 197556 229068 230482 277263 296334 343602 345723 369684 444501 460964 554526 592668 687204 691446 889002 1037169 1109052 1333503 1382892 1778004 2074338 2667006 3111507 4000509 4148676 5334012 6223014 8001018 9334521 12446028 16002036 18669042 28003563 37338084 56007126 112014252