221968032 has 384 divisors, whose sum is σ = 772208640. Its totient is φ = 54743040.

The previous prime is 221968027. The next prime is 221968039. The reversal of 221968032 is 230869122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 221967984 and 221968002.

It is not an unprimeable number, because it can be changed into a prime (221968039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5999118 + ... + 5999154.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^221968032 is an apocalyptic number.

221968032 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 221968032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386104320).

221968032 is an abundant number, since it is smaller than the sum of its proper divisors (550240608).

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

221968032 is a wasteful number, since it uses less digits than its factorization.

221968032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 221968032 is about 14898.5916112900. The cubic root of 221968032 is about 605.4758290210.

The spelling of 221968032 in words is "two hundred twenty-one million, nine hundred sixty-eight thousand, thirty-two".