221133023232 has 384 divisors, whose sum is σ = 685127963520. Its totient is φ = 62683873280.

The previous prime is 221133023219. The next prime is 221133023239. The reversal of 221133023232 is 232320331122.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (221133023239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226338328 + ... + 226339304.

It is an arithmetic number, because the mean of its divisors is an integer number (1784187405).

Almost surely, 2^221133023232 is an apocalyptic number.

221133023232 is a gapful number since it is divisible by the number (22) 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 221133023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342563981760).

221133023232 is an abundant number, since it is smaller than the sum of its proper divisors (463994940288).

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

221133023232 is a wasteful number, since it uses less digits than its factorization.

221133023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 221133023232 its reverse (232320331122), we get a palindrome (453453354354).

The spelling of 221133023232 in words is "two hundred twenty-one billion, one hundred thirty-three million, twenty-three thousand, two hundred thirty-two".