221202000 has 120 divisors (see below), whose sum is σ = 772647720. Its totient is φ = 58982400.

The previous prime is 221201999. The next prime is 221202013. The reversal of 221202000 is 202122.

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 220700736 = 708^2 + 14856^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11856 + ... + 24144.

It is an arithmetic number, because the mean of its divisors is an integer number (6438731).

Almost surely, 2^221202000 is an apocalyptic number.

221202000 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 221202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386323860).

221202000 is an abundant number, since it is smaller than the sum of its proper divisors (551445720).

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

221202000 is a wasteful number, since it uses less digits than its factorization.

221202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12318 (or 12299 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 221202000 is about 14872.8611907729. The cubic root of 221202000 is about 604.7785087265.

Adding to 221202000 its reverse (202122), we get a palindrome (221404122).

The spelling of 221202000 in words is "two hundred twenty-one million, two hundred two thousand".