221232223033000 has 128 divisors (see below), whose sum is σ = 517998628836000. Its totient is φ = 88439023411200.

The previous prime is 221232223032967. The next prime is 221232223033013. The reversal of 221232223033000 is 330322232122.

It can be written as a sum of positive squares in 16 ways, for example, as 45457287808804 + 175774935224196 = 6742202^2 + 13258014^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13300792684 + ... + 13300809316.

Almost surely, 2^{221232223033000} is an apocalyptic number.

221232223033000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221232223033000 is an abundant number, since it is smaller than the sum of its proper divisors (296766405803000).

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

221232223033000 is a wasteful number, since it uses less digits than its factorization.

221232223033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23952 (or 23938 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 221232223033000 its reverse (330322232122), we get a palindrome (221562545265122).

The spelling of 221232223033000 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, two hundred twenty-three million, thirty-three thousand".