221417472 has 104 divisors (see below), whose sum is σ = 607575616. Its totient is φ = 71663616.

The previous prime is 221417459. The next prime is 221417473. The reversal of 221417472 is 274714122.

It is not an unprimeable number, because it can be changed into a prime (221417473) 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, 454413 + ... + 454899.

Almost surely, 2^221417472 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 221417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303787808).

221417472 is an abundant number, since it is smaller than the sum of its proper divisors (386158144).

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

221417472 is an equidigital number, since it uses as much as digits as its factorization.

221417472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 529 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 221417472 is about 14880.1032254484. The cubic root of 221417472 is about 604.9748157902.

The spelling of 221417472 in words is "two hundred twenty-one million, four hundred seventeen thousand, four hundred seventy-two".