221010432 has 80 divisors (see below), whose sum is σ = 619856160. Its totient is φ = 69783552.

The previous prime is 221010431. The next prime is 221010463. The reversal of 221010432 is 234010122.

It is a super-2 number, since 2×221010432² = 97691222105653248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221010431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25398 + ... + 32970.

It is an arithmetic number, because the mean of its divisors is an integer number (7748202).

Almost surely, 2^221010432 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 221010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309928080).

221010432 is an abundant number, since it is smaller than the sum of its proper divisors (398845728).

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

221010432 is an equidigital number, since it uses as much as digits as its factorization.

221010432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7613 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221010432 is about 14866.4196093074. The cubic root of 221010432 is about 604.6038724657.

Adding to 221010432 its reverse (234010122), we get a palindrome (455020554).

The spelling of 221010432 in words is "two hundred twenty-one million, ten thousand, four hundred thirty-two".