222202080 has 144 divisors (see below), whose sum is σ = 791350560. Its totient is φ = 56669184.

The previous prime is 222202067. The next prime is 222202109. The reversal of 222202080 is 80202222.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29766 + ... + 36474.

It is an arithmetic number, because the mean of its divisors is an integer number (5495490).

Almost surely, 2^222202080 is an apocalyptic number.

222202080 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 222202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395675280).

222202080 is an abundant number, since it is smaller than the sum of its proper divisors (569148480).

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

222202080 is a wasteful number, since it uses less digits than its factorization.

222202080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 222202080 is about 14906.4442440174. Note that the first 3 decimals coincide. The cubic root of 222202080 is about 605.6885633010.

The spelling of 222202080 in words is "two hundred twenty-two million, two hundred two thousand, eighty".