222842880 has 416 divisors, whose sum is σ = 880696320. Its totient is φ = 53084160.

The previous prime is 222842863. The next prime is 222842881. The reversal of 222842880 is 88248222.

222842880 is a `hidden beast` number, since 2 + 228 + 428 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222842881) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7188465 + ... + 7188495.

Almost surely, 2^222842880 is an apocalyptic number.

222842880 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 222842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440348160).

222842880 is an abundant number, since it is smaller than the sum of its proper divisors (657853440).

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

222842880 is a wasteful number, since it uses less digits than its factorization.

222842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 222842880 is about 14927.9228293825. The cubic root of 222842880 is about 606.2702451170.

The spelling of 222842880 in words is "two hundred twenty-two million, eight hundred forty-two thousand, eight hundred eighty".