221672832 has 64 divisors (see below), whose sum is σ = 592872960. Its totient is φ = 73382400.

The previous prime is 221672819. The next prime is 221672833. The reversal of 221672832 is 238276122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 221672793 and 221672802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221672833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56073 + ... + 59895.

It is an arithmetic number, because the mean of its divisors is an integer number (9263640).

Almost surely, 2^221672832 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 221672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296436480).

221672832 is an abundant number, since it is smaller than the sum of its proper divisors (371200128).

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

221672832 is a wasteful number, since it uses less digits than its factorization.

221672832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3979 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 221672832 is about 14888.6813385202. The cubic root of 221672832 is about 605.2072982227.

The spelling of 221672832 in words is "two hundred twenty-one million, six hundred seventy-two thousand, eight hundred thirty-two".