222290441100 has 1152 divisors, whose sum is σ = 980637235200. Its totient is φ = 41803776000.

The previous prime is 222290441089. The next prime is 222290441129. The reversal of 222290441100 is 1144092222.

222290441100 is a `hidden beast` number, since 22 + 229 + 0 + 4 + 411 + 0 + 0 = 666.

222290441100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 79359700 + ... + 79362500.

It is an arithmetic number, because the mean of its divisors is an integer number (851247600).

Almost surely, 2^222290441100 is an apocalyptic number.

222290441100 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 222290441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490318617600).

222290441100 is an abundant number, since it is smaller than the sum of its proper divisors (758346794100).

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

222290441100 is a wasteful number, since it uses less digits than its factorization.

222290441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 222290441100 in words is "two hundred twenty-two billion, two hundred ninety million, four hundred forty-one thousand, one hundred".