222306000 has 320 divisors, whose sum is σ = 841850880. Its totient is φ = 49420800.

The previous prime is 222305989. The next prime is 222306037. The reversal of 222306000 is 603222.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 2813961 + ... + 2814039.

It is an arithmetic number, because the mean of its divisors is an integer number (2630784).

Almost surely, 2^222306000 is an apocalyptic number.

222306000 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 222306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420925440).

222306000 is an abundant number, since it is smaller than the sum of its proper divisors (619544880).

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

222306000 is a wasteful number, since it uses less digits than its factorization.

222306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 222306000 is about 14909.9295772985. The cubic root of 222306000 is about 605.7829718766.

Adding to 222306000 its reverse (603222), we get a palindrome (222909222).

The spelling of 222306000 in words is "two hundred twenty-two million, three hundred six thousand".