223232100 has 432 divisors, whose sum is σ = 869194368. Its totient is φ = 43130880.

The previous prime is 223232059. The next prime is 223232101. The reversal of 223232100 is 1232322.

It is a super-3 number, since 3×223232100³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 223232100.

It is not an unprimeable number, because it can be changed into a prime (223232101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6033282 + ... + 6033318.

It is an arithmetic number, because the mean of its divisors is an integer number (2012024).

Almost surely, 2^223232100 is an apocalyptic number.

223232100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434597184).

223232100 is an abundant number, since it is smaller than the sum of its proper divisors (645962268).

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

223232100 is a wasteful number, since it uses less digits than its factorization.

223232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 223232100 is about 14940.9537848157. The cubic root of 223232100 is about 606.6230127319.

Adding to 223232100 its reverse (1232322), we get a palindrome (224464422).

The spelling of 223232100 in words is "two hundred twenty-three million, two hundred thirty-two thousand, one hundred".