223213313232 has 480 divisors, whose sum is σ = 833961623040. Its totient is φ = 54052945920.

The previous prime is 223213313201. The next prime is 223213313269. The reversal of 223213313232 is 232313312322.

223213313232 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 1 + 331 + 323 + 2 = 666.

It is a super-3 number, since 3×223213313232³ (a number of 35 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 223213313196 and 223213313205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9121269 + ... + 9145707.

It is an arithmetic number, because the mean of its divisors is an integer number (1737420048).

Almost surely, 2^223213313232 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 223213313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416980811520).

223213313232 is an abundant number, since it is smaller than the sum of its proper divisors (610748309808).

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

223213313232 is a wasteful number, since it uses less digits than its factorization.

223213313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24531 (or 24522 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 223213313232 its reverse (232313312322), we get a palindrome (455526625554).

The spelling of 223213313232 in words is "two hundred twenty-three billion, two hundred thirteen million, three hundred thirteen thousand, two hundred thirty-two".