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14112252 = 22337111697
BaseRepresentation
bin110101110101…
…010111111100
3222112222101000
4311311113330
512103043002
61222250300
7230644410
oct65652774
928488330
1014112252
117a69820
124886990
132c0155b
141c34d40
15138b61c
hexd755fc

14112252 has 96 divisors (see below), whose sum is σ = 45642240. Its totient is φ = 3663360.

The previous prime is 14112229. The next prime is 14112283. The reversal of 14112252 is 25221141.

14112252 is a `hidden beast` number, since 1 + 411 + 2 + 252 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7468 + ... + 9164.

It is an arithmetic number, because the mean of its divisors is an integer number (475440).

Almost surely, 214112252 is an apocalyptic number.

14112252 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 14112252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22821120).

14112252 is an abundant number, since it is smaller than the sum of its proper divisors (31529988).

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

14112252 is a wasteful number, since it uses less digits than its factorization.

14112252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1720 counting only the distinct ones).

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

The square root of 14112252 is about 3756.6277430696. The cubic root of 14112252 is about 241.6566631346.

Adding to 14112252 its reverse (25221141), we get a palindrome (39333393).

Subtracting 14112252 from its reverse (25221141), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1411 and 2252, that added together give a palindrome (3663).

The spelling of 14112252 in words is "fourteen million, one hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 1697 2079 2772 3394 4158 5091 6788 8316 10182 11879 15273 18667 20364 23758 30546 35637 37334 45819 47516 56001 61092 71274 74668 91638 106911 112002 130669 142548 168003 183276 213822 224004 261338 320733 336006 392007 427644 504009 522676 641466 672012 784014 1008018 1176021 1282932 1568028 2016036 2352042 3528063 4704084 7056126 14112252