222305280 has 176 divisors, whose sum is σ = 730435104. Its totient is φ = 57671680.

The previous prime is 222305269. The next prime is 222305299. The reversal of 222305280 is 82503222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 222305280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629584 + ... + 629936.

Almost surely, 2^222305280 is an apocalyptic number.

222305280 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 222305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365217552).

222305280 is an abundant number, since it is smaller than the sum of its proper divisors (508129824).

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

222305280 is a wasteful number, since it uses less digits than its factorization.

222305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 222305280 is about 14909.9054322957. The cubic root of 222305280 is about 605.7823178768.

The spelling of 222305280 in words is "two hundred twenty-two million, three hundred five thousand, two hundred eighty".