222322000 has 80 divisors (see below), whose sum is σ = 544050000. Its totient is φ = 87859200.

The previous prime is 222321989. The next prime is 222322031. The reversal of 222322000 is 223222.

It can be written as a sum of positive squares in 8 ways, for example, as 118200384 + 104121616 = 10872^2 + 10204^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177376 + ... + 178624.

It is an arithmetic number, because the mean of its divisors is an integer number (6800625).

Almost surely, 2^222322000 is an apocalyptic number.

222322000 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 222322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272025000).

222322000 is an abundant number, since it is smaller than the sum of its proper divisors (321728000).

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

222322000 is a wasteful number, since it uses less digits than its factorization.

222322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 222322000 is about 14910.4661228280. The cubic root of 222322000 is about 605.7975048402.

Adding to 222322000 its reverse (223222), we get a palindrome (222545222).

The spelling of 222322000 in words is "two hundred twenty-two million, three hundred twenty-two thousand".