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22032 = 243417
BaseRepresentation
bin101011000010000
31010020000
411120100
51201112
6250000
7121143
oct53020
933200
1022032
111560a
1210900
13a04a
14805a
1567dc
hex5610

22032 has 50 divisors (see below), whose sum is σ = 67518. Its totient is φ = 6912.

The previous prime is 22031. The next prime is 22037. The reversal of 22032 is 23022.

It can be written as a sum of positive squares in only one way, i.e., 20736 + 1296 = 144^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22032.

It is not an unprimeable number, because it can be changed into a prime (22031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1288 + ... + 1304.

222032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33759).

22032 is an abundant number, since it is smaller than the sum of its proper divisors (45486).

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

22032 is a wasteful number, since it uses less digits than its factorization.

22032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 22032 is about 148.4318025222. The cubic root of 22032 is about 28.0339723701.

Adding to 22032 its reverse (23022), we get a palindrome (45054).

Subtracting 22032 from its reverse (23022), we obtain a triangular number (990 = T44).

It can be divided in two parts, 220 and 32, that added together give a palindrome (252).

The spelling of 22032 in words is "twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 5508 7344 11016 22032