221429016 has 96 divisors (see below), whose sum is σ = 630561360. Its totient is φ = 70108416.

The previous prime is 221428997. The next prime is 221429041. The reversal of 221429016 is 610924122.

221429016 is a `hidden beast` number, since 221 + 429 + 0 + 16 = 666.

221429016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113586 + ... + 115518.

Almost surely, 2^221429016 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 221429016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315280680).

221429016 is an abundant number, since it is smaller than the sum of its proper divisors (409132344).

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

221429016 is a wasteful number, since it uses less digits than its factorization.

221429016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 221429016 is about 14880.4911209274. The cubic root of 221429016 is about 604.9853294259.

The spelling of 221429016 in words is "two hundred twenty-one million, four hundred twenty-nine thousand, sixteen".