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11132232 = 2334771139
BaseRepresentation
bin101010011101…
…110101001000
3202221120112220
4222131311020
510322212412
61034334040
7163423326
oct52356510
922846486
1011132232
1163138a1
12388a320
1323ca027
14169ad16
15e9d68c
hexa9dd48

11132232 has 64 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 3554880.

The previous prime is 11132221. The next prime is 11132239. The reversal of 11132232 is 23223111.

11132232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11132239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80019 + ... + 80157.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 211132232 is an apocalyptic number.

11132232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3336×3337.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

11132232 is an abundant number, since it is smaller than the sum of its proper divisors (17898168).

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

11132232 is a wasteful number, since it uses less digits than its factorization.

11132232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 11132232 is about 3336.4999625356. The cubic root of 11132232 is about 223.2856173895.

Adding to 11132232 its reverse (23223111), we get a palindrome (34355343).

The spelling of 11132232 in words is "eleven million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 71 94 139 141 142 188 213 278 282 284 376 417 426 556 564 568 834 852 1112 1128 1668 1704 3336 3337 6533 6674 9869 10011 13066 13348 19599 19738 20022 26132 26696 29607 39198 39476 40044 52264 59214 78396 78952 80088 118428 156792 236856 463843 927686 1391529 1855372 2783058 3710744 5566116 11132232