221010220 has 96 divisors (see below), whose sum is σ = 503387136. Its totient is φ = 81312000.

The previous prime is 221010187. The next prime is 221010241. The reversal of 221010220 is 22010122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 221010197 and 221010206.

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 31 ways as a sum of consecutive naturals, for example, 2188170 + ... + 2188270.

It is an arithmetic number, because the mean of its divisors is an integer number (5243616).

Almost surely, 2^221010220 is an apocalyptic number.

221010220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251693568).

221010220 is an abundant number, since it is smaller than the sum of its proper divisors (282376916).

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

221010220 is a wasteful number, since it uses less digits than its factorization.

221010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 221010220 is about 14866.4124791424. The cubic root of 221010220 is about 604.6036791474.

Adding to 221010220 its reverse (22010122), we get a palindrome (243020342).

It can be divided in two parts, 2210102 and 20, that added together give a palindrome (2210122).

The spelling of 221010220 in words is "two hundred twenty-one million, ten thousand, two hundred twenty".