222280416 has 192 divisors, whose sum is σ = 688343040. Its totient is φ = 69672960.

The previous prime is 222280403. The next prime is 222280417. The reversal of 222280416 is 614082222.

It is a happy number.

222280416 is a `hidden beast` number, since 22 + 228 + 0 + 416 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 222280416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222280417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1151616 + ... + 1151808.

It is an arithmetic number, because the mean of its divisors is an integer number (3585120).

Almost surely, 2^222280416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222280416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344171520).

222280416 is an abundant number, since it is smaller than the sum of its proper divisors (466062624).

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

222280416 is a wasteful number, since it uses less digits than its factorization.

222280416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

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

The square root of 222280416 is about 14909.0716008744. The cubic root of 222280416 is about 605.7597322188.

The spelling of 222280416 in words is "two hundred twenty-two million, two hundred eighty thousand, four hundred sixteen".