22033200031000 has 128 divisors (see below), whose sum is σ = 52289789760000. Its totient is φ = 8688162672000.

The previous prime is 22033200030979. The next prime is 22033200031027. The reversal of 22033200031000 is 13000233022.

It is a super-2 number, since 2×22033200031000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 1228220031 + ... + 1228237969.

It is an arithmetic number, because the mean of its divisors is an integer number (408513982500).

Almost surely, 2^{22033200031000} is an apocalyptic number.

22033200031000 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 22033200031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26144894880000).

22033200031000 is an abundant number, since it is smaller than the sum of its proper divisors (30256589729000).

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

22033200031000 is a wasteful number, since it uses less digits than its factorization.

22033200031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35330 (or 35316 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 22033200031000 its reverse (13000233022), we get a palindrome (22046200264022).

The spelling of 22033200031000 in words is "twenty-two trillion, thirty-three billion, two hundred million, thirty-one thousand".