223022333133000 has 192 divisors, whose sum is σ = 754576177605120. Its totient is φ = 59412607056000.

The previous prime is 223022333132999. The next prime is 223022333133007. The reversal of 223022333133000 is 331333220322.

223022333133000 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 2 + 23 + 331 + 3 + 300 + 0 = 666.

It is a super-2 number, since 2×223022333133000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (223022333133007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3583654 + ... + 21421653.

It is an arithmetic number, because the mean of its divisors is an integer number (3930084258360).

Almost surely, 2^{223022333133000} is an apocalyptic number.

223022333133000 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 223022333133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377288088802560).

223022333133000 is an abundant number, since it is smaller than the sum of its proper divisors (531553844472120).

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

223022333133000 is a wasteful number, since it uses less digits than its factorization.

223022333133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25006325 (or 25006308 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 223022333133000 its reverse (331333220322), we get a palindrome (223353666353322).

The spelling of 223022333133000 in words is "two hundred twenty-three trillion, twenty-two billion, three hundred thirty-three million, one hundred thirty-three thousand".