22233023000320 has 288 divisors, whose sum is σ = 62455297121280. Its totient is φ = 7496256798720.

The previous prime is 22233023000303. The next prime is 22233023000327. The reversal of 22233023000320 is 2300032033222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22233023000291 and 22233023000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22233023000327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11689314 + ... + 13457566.

It is an arithmetic number, because the mean of its divisors is an integer number (216858670560).

Almost surely, 2^{22233023000320} is an apocalyptic number.

22233023000320 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 22233023000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31227648560640).

22233023000320 is an abundant number, since it is smaller than the sum of its proper divisors (40222274120960).

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

22233023000320 is a wasteful number, since it uses less digits than its factorization.

22233023000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768351 (or 1768337 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 22233023000320 its reverse (2300032033222), we get a palindrome (24533055033542).

The spelling of 22233023000320 in words is "twenty-two trillion, two hundred thirty-three billion, twenty-three million, three hundred twenty", and thus it is an aban number.