221469472 has 96 divisors (see below), whose sum is σ = 555569280. Its totient is φ = 84602880.

The previous prime is 221469449. The next prime is 221469497. The reversal of 221469472 is 274964122.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 70822 + ... + 73882.

It is an arithmetic number, because the mean of its divisors is an integer number (5787180).

Almost surely, 2^221469472 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 221469472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277784640).

221469472 is an abundant number, since it is smaller than the sum of its proper divisors (334099808).

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

221469472 is a wasteful number, since it uses less digits than its factorization.

221469472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3106 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 221469472 is about 14881.8504225785. The cubic root of 221469472 is about 605.0221716256.

The spelling of 221469472 in words is "two hundred twenty-one million, four hundred sixty-nine thousand, four hundred seventy-two".