33223232223000 has 192 divisors, whose sum is σ = 112354345022400. Its totient is φ = 8854809062400.

The previous prime is 33223232222987. The next prime is 33223232223001. The reversal of 33223232223000 is 32223232233.

33223232223000 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 32 + 322 + 2 + 300 + 0 = 666.

It is a super-2 number, since 2×33223232223000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33223232223001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15928704 + ... + 17893296.

It is an arithmetic number, because the mean of its divisors is an integer number (585178880325).

Almost surely, 2^{33223232223000} is an apocalyptic number.

33223232223000 is a gapful number since it is divisible by the number (30) 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 33223232223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56177172511200).

33223232223000 is an abundant number, since it is smaller than the sum of its proper divisors (79131112799400).

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

33223232223000 is a wasteful number, since it uses less digits than its factorization.

33223232223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966499 (or 1966482 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 33223232223000 its reverse (32223232233), we get a palindrome (33255455455233).

The spelling of 33223232223000 in words is "thirty-three trillion, two hundred twenty-three billion, two hundred thirty-two million, two hundred twenty-three thousand".