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2232 = 233231
BaseRepresentation
bin100010111000
310001200
4202320
532412
614200
76336
oct4270
93050
102232
11174a
121360
131029
14b56
159dc
hex8b8

2232 has 24 divisors (see below), whose sum is σ = 6240. Its totient is φ = 720.

The previous prime is 2221. The next prime is 2237. The reversal of 2232 is 2322.

Adding to 2232 its reverse (2322), we get a palindrome (4554).

It can be divided in two parts, 223 and 2, that added together give a square (225 = 152).

2232 is nontrivially palindromic in base 7 and base 16.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×22323 = 33358293504, which contains 333 as substring.

It is a hoax number, since the sum of its digits (9) 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 (9).

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.

2232 is an undulating number in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2237) by changing a digit.

2232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 57 + ... + 87.

It is an arithmetic number, because the mean of its divisors is an integer number (260).

2232 is the 24-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120).

2232 is an abundant number, since it is smaller than the sum of its proper divisors (4008).

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

2232 is a wasteful number, since it uses less digits than its factorization.

2232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 36 counting only the distinct ones).

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

The square root of 2232 is about 47.2440472441. The cubic root of 2232 is about 13.0686701542.

The spelling of 2232 in words is "two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232