221505030 has 80 divisors (see below), whose sum is σ = 605501424. Its totient is φ = 58086720.

The previous prime is 221505023. The next prime is 221505043. The reversal of 221505030 is 30505122.

It is a happy number.

221505030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221504994 and 221505012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47169 + ... + 51651.

Almost surely, 2^221505030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221505030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302750712).

221505030 is an abundant number, since it is smaller than the sum of its proper divisors (383996394).

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

221505030 is a wasteful number, since it uses less digits than its factorization.

221505030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4563 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 221505030 is about 14883.0450513327. The cubic root of 221505030 is about 605.0545496428.

The spelling of 221505030 in words is "two hundred twenty-one million, five hundred five thousand, thirty".