221183233920 has 768 divisors, whose sum is σ = 852167796480. Its totient is φ = 52416184320.

The previous prime is 221183233883. The next prime is 221183234011. The reversal of 221183233920 is 29332381122.

It is a happy number.

221183233920 is a `hidden beast` number, since 221 + 1 + 83 + 2 + 339 + 20 = 666.

221183233920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720466407 + ... + 720466713.

It is an arithmetic number, because the mean of its divisors is an integer number (1109593485).

Almost surely, 2^221183233920 is an apocalyptic number.

221183233920 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 221183233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426083898240).

221183233920 is an abundant number, since it is smaller than the sum of its proper divisors (630984562560).

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

221183233920 is a wasteful number, since it uses less digits than its factorization.

221183233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 221183233920 in words is "two hundred twenty-one billion, one hundred eighty-three million, two hundred thirty-three thousand, nine hundred twenty".