223232000 has 120 divisors (see below), whose sum is σ = 562281720. Its totient is φ = 88473600.

The previous prime is 223231993. The next prime is 223232011. The reversal of 223232000 is 232322.

It can be written as a sum of positive squares in 4 ways, for example, as 2768896 + 220463104 = 1664^2 + 14848^2 .

It is a super-3 number, since 3×223232000³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2047946 + ... + 2048054.

It is an arithmetic number, because the mean of its divisors is an integer number (4685681).

Almost surely, 2^223232000 is an apocalyptic number.

223232000 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 223232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281140860).

223232000 is an abundant number, since it is smaller than the sum of its proper divisors (339049720).

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

223232000 is an frugal number, since it uses more digits than its factorization.

223232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 223232000 is about 14940.9504383088. The cubic root of 223232000 is about 606.6229221501.

Adding to 223232000 its reverse (232322), we get a palindrome (223464322).

The spelling of 223232000 in words is "two hundred twenty-three million, two hundred thirty-two thousand".