223213000 has 128 divisors (see below), whose sum is σ = 555984000. Its totient is φ = 83731200.

The previous prime is 223212889. The next prime is 223213037. The reversal of 223213000 is 312322.

It is a happy number.

It is a super-3 number, since 3×223213000³ (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 31 ways as a sum of consecutive naturals, for example, 1246911 + ... + 1247089.

It is an arithmetic number, because the mean of its divisors is an integer number (4343625).

Almost surely, 2^223213000 is an apocalyptic number.

223213000 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 223213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277992000).

223213000 is an abundant number, since it is smaller than the sum of its proper divisors (332771000).

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

223213000 is a wasteful number, since it uses less digits than its factorization.

223213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 223213000 is about 14940.3145883880. The cubic root of 223213000 is about 606.6057111132.

Adding to 223213000 its reverse (312322), we get a palindrome (223525322).

The spelling of 223213000 in words is "two hundred twenty-three million, two hundred thirteen thousand".