221833136 has 80 divisors (see below), whose sum is σ = 523252224. Its totient is φ = 88937472.

The previous prime is 221833127. The next prime is 221833141. The reversal of 221833136 is 631338122.

221833136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221833099 and 221833108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500531 + ... + 500973.

Almost surely, 2^221833136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221833136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261626112).

221833136 is an abundant number, since it is smaller than the sum of its proper divisors (301419088).

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

221833136 is a wasteful number, since it uses less digits than its factorization.

221833136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 221833136 is about 14894.0637839375. The cubic root of 221833136 is about 605.3531494653.

The spelling of 221833136 in words is "two hundred twenty-one million, eight hundred thirty-three thousand, one hundred thirty-six".