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14231232 = 263231797
BaseRepresentation
bin110110010010…
…011011000000
3222210000120200
4312102123000
512120344412
61225005200
7231651321
oct66223300
928700520
1014231232
118040154
124923800
132c43762
141c66448
1513b19dc
hexd926c0

14231232 has 84 divisors (see below), whose sum is σ = 42159936. Its totient is φ = 4584960.

The previous prime is 14231207. The next prime is 14231233. The reversal of 14231232 is 23213241.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (14231233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17458 + ... + 18254.

It is an arithmetic number, because the mean of its divisors is an integer number (501904).

Almost surely, 214231232 is an apocalyptic number.

14231232 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 14231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21079968).

14231232 is an abundant number, since it is smaller than the sum of its proper divisors (27928704).

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

14231232 is a wasteful number, since it uses less digits than its factorization.

14231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 833 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 14231232 is about 3772.4305162587. The cubic root of 14231232 is about 242.3338969508. Note that the first 3 decimals are identical.

Adding to 14231232 its reverse (23213241), we get a palindrome (37444473).

Subtracting 14231232 from its reverse (23213241), we obtain a square (8982009 = 29972).

The spelling of 14231232 in words is "fourteen million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 797 992 1116 1488 1594 1984 2232 2391 2976 3188 4464 4782 5952 6376 7173 8928 9564 12752 14346 17856 19128 24707 25504 28692 38256 49414 51008 57384 74121 76512 98828 114768 148242 153024 197656 222363 229536 296484 395312 444726 459072 592968 790624 889452 1185936 1581248 1778904 2371872 3557808 4743744 7115616 14231232