222302880 has 240 divisors, whose sum is σ = 831516840. Its totient is φ = 55738368.

The previous prime is 222302867. The next prime is 222302881. The reversal of 222302880 is 88203222.

It can be written as a sum of positive squares in 4 ways, for example, as 186158736 + 36144144 = 13644^2 + 6012^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (222302881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219816 + ... + 220824.

Almost surely, 2^222302880 is an apocalyptic number.

222302880 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 222302880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415758420).

222302880 is an abundant number, since it is smaller than the sum of its proper divisors (609213960).

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

222302880 is a wasteful number, since it uses less digits than its factorization.

222302880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 222302880 is about 14909.8249486706. The cubic root of 222302880 is about 605.7801378675.

The spelling of 222302880 in words is "two hundred twenty-two million, three hundred two thousand, eight hundred eighty".