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22932 = 22327213

22932 has 54 divisors (see below), whose sum is σ = 72618. Its totient is φ = 6048.

The previous prime is 22921. The next prime is 22937. The reversal of 22932 is 23922.

Subtracting 22932 from its reverse (23922), we obtain a triangular number (990 = T44).

It can be written as a sum of positive squares in only one way, i.e., 15876 + 7056 = 126^2 + 84^2 .

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.

It is a d-powerful number, because it can be written as 28 + 212 + 9 + 37 + 214 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22937) by changing a digit.

22932 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 (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1758 + ... + 1770.

222932 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 22932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36309).

22932 is an abundant number, since it is smaller than the sum of its proper divisors (49686).

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

22932 is a wasteful number, since it uses less digits than its factorization.

22932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 25 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 22932 is about 151.4331535695. The cubic root of 22932 is about 28.4106156176.

The spelling of 22932 in words is "twenty-two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 22932