222521000 has 64 divisors (see below), whose sum is σ = 560785680. Its totient is φ = 82156800.

The previous prime is 222520957. The next prime is 222521011. The reversal of 222521000 is 125222.

It can be written as a sum of positive squares in 8 ways, for example, as 32467204 + 190053796 = 5698^2 + 13786^2 .

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 15 ways as a sum of consecutive naturals, for example, 4442 + ... + 21558.

Almost surely, 2^222521000 is an apocalyptic number.

222521000 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 222521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280392840).

222521000 is an abundant number, since it is smaller than the sum of its proper divisors (338264680).

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

222521000 is a wasteful number, since it uses less digits than its factorization.

222521000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17151 (or 17137 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 222521000 is about 14917.1377951670. The cubic root of 222521000 is about 605.9782003363.

Adding to 222521000 its reverse (125222), we get a palindrome (222646222).

The spelling of 222521000 in words is "two hundred twenty-two million, five hundred twenty-one thousand".