223121232 has 60 divisors (see below), whose sum is σ = 626963220. Its totient is φ = 74072064.

The previous prime is 223121207. The next prime is 223121233. The reversal of 223121232 is 232121322.

It can be written as a sum of positive squares in 2 ways, for example, as 215032896 + 8088336 = 14664^2 + 2844^2 .

It is a super-3 number, since 3×223121232³ (a number of 26 digits) contains 333 as substring.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (223121233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33994 + ... + 40022.

It is an arithmetic number, because the mean of its divisors is an integer number (10449387).

Almost surely, 2^223121232 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 223121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313481610).

223121232 is an abundant number, since it is smaller than the sum of its proper divisors (403841988).

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

223121232 is a wasteful number, since it uses less digits than its factorization.

223121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 6291 counting only the distinct ones).

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

The square root of 223121232 is about 14937.2431191301. The cubic root of 223121232 is about 606.5225698635.

Adding to 223121232 its reverse (232121322), we get a palindrome (455242554).

The spelling of 223121232 in words is "two hundred twenty-three million, one hundred twenty-one thousand, two hundred thirty-two".