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11243232 = 2533711132
BaseRepresentation
bin101010111000…
…111011100000
3210011012211000
4222320323200
510334240412
61040552000
7164365050
oct52707340
923135730
1011243232
11638a230
123922600
132438700
1416c9560
15ec14dc
hexab8ee0

11243232 has 288 divisors, whose sum is σ = 44271360. Its totient is φ = 2695680.

The previous prime is 11243191. The next prime is 11243233. The reversal of 11243232 is 23234211.

11243232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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.

Its product of digits (288) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11243233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 864858 + ... + 864870.

It is an arithmetic number, because the mean of its divisors is an integer number (153720).

Almost surely, 211243232 is an apocalyptic number.

11243232 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 11243232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22135680).

11243232 is an abundant number, since it is smaller than the sum of its proper divisors (33028128).

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

11243232 is a wasteful number, since it uses less digits than its factorization.

11243232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 36 counting only the distinct ones).

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

The square root of 11243232 is about 3353.0929005919. The cubic root of 11243232 is about 224.0252947626.

Adding to 11243232 its reverse (23234211), we get a palindrome (34477443).

It can be divided in two parts, 1124 and 3232, that added together give a square (4356 = 662).

The spelling of 11243232 in words is "eleven million, two hundred forty-three thousand, two hundred thirty-two".