221020000 has 120 divisors (see below), whose sum is σ = 558552456. Its totient is φ = 86016000.

The previous prime is 221019961. The next prime is 221020001. The reversal of 221020000 is 20122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 859872 + ... + 860128.

Almost surely, 2^221020000 is an apocalyptic number.

221020000 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 221020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279276228).

221020000 is an abundant number, since it is smaller than the sum of its proper divisors (337532456).

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

221020000 is an equidigital number, since it uses as much as digits as its factorization.

221020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 221020000 is about 14866.7414048943. The cubic root of 221020000 is about 604.6125971917.

Adding to 221020000 its reverse (20122), we get a palindrome (221040122).

The spelling of 221020000 in words is "two hundred twenty-one million, twenty thousand".