223232333313000 has 256 divisors, whose sum is σ = 760150624896000. Its totient is φ = 54092076192000.

The previous prime is 223232333312959. The next prime is 223232333313013. The reversal of 223232333313000 is 313333232322.

It is a super-3 number, since 3×223232333313000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70354771 + ... + 73459229.

It is an arithmetic number, because the mean of its divisors is an integer number (2969338378500).

Almost surely, 2^{223232333313000} is an apocalyptic number.

223232333313000 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 223232333313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380075312448000).

223232333313000 is an abundant number, since it is smaller than the sum of its proper divisors (536918291583000).

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

223232333313000 is a wasteful number, since it uses less digits than its factorization.

223232333313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106673 (or 3106659 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 223232333313000 its reverse (313333232322), we get a palindrome (223545666545322).

The spelling of 223232333313000 in words is "two hundred twenty-three trillion, two hundred thirty-two billion, three hundred thirty-three million, three hundred thirteen thousand".