221229072 has 60 divisors (see below), whose sum is σ = 627003520. Its totient is φ = 72805824.

The previous prime is 221229059. The next prime is 221229077. The reversal of 221229072 is 270922122.

It is not an unprimeable number, because it can be changed into a prime (221229077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1653 + ... + 21099.

Almost surely, 2^221229072 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 221229072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313501760).

221229072 is an abundant number, since it is smaller than the sum of its proper divisors (405774448).

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

221229072 is a wasteful number, since it uses less digits than its factorization.

221229072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19540 (or 19531 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 221229072 is about 14873.7712769828. The cubic root of 221229072 is about 604.8031798355.

The spelling of 221229072 in words is "two hundred twenty-one million, two hundred twenty-nine thousand, seventy-two".