223330113000 has 384 divisors, whose sum is σ = 777151908000. Its totient is φ = 57803673600.

The previous prime is 223330112981. The next prime is 223330113011. The reversal of 223330113000 is 311033322.

223330113000 is a `hidden beast` number, since 2 + 23 + 330 + 11 + 300 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 15738706116 + 207591406884 = 125454^2 + 455622^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 269396586 + ... + 269397414.

Almost surely, 2^223330113000 is an apocalyptic number.

223330113000 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 223330113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388575954000).

223330113000 is an abundant number, since it is smaller than the sum of its proper divisors (553821795000).

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

223330113000 is a wasteful number, since it uses less digits than its factorization.

223330113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 223330113000 its reverse (311033322), we get a palindrome (223641146322).

The spelling of 223330113000 in words is "two hundred twenty-three billion, three hundred thirty million, one hundred thirteen thousand".