2222223003000 has 3072 divisors, whose sum is σ = 10649589350400. Its totient is φ = 403107840000.

The previous prime is 2222223002981. The next prime is 2222223003017. The reversal of 2222223003000 is 3003222222.

2222223003000 is a `hidden beast` number, since 22 + 22 + 22 + 300 + 300 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 20387366946 + ... + 20387367054.

It is an arithmetic number, because the mean of its divisors is an integer number (3466663200).

Almost surely, 2^{2222223003000} is an apocalyptic number.

2222223003000 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 2222223003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324794675200).

2222223003000 is an abundant number, since it is smaller than the sum of its proper divisors (8427366347400).

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

2222223003000 is a wasteful number, since it uses less digits than its factorization.

2222223003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 2222223003000 its reverse (3003222222), we get a palindrome (2225226225222).

It can be divided in two parts, 222 and 2223003000, that added together give a palindrome (2223003222).

The spelling of 2222223003000 in words is "two trillion, two hundred twenty-two billion, two hundred twenty-three million, three thousand".