222849000 has 192 divisors, whose sum is σ = 822070080. Its totient is φ = 54000000.

The previous prime is 222848999. The next prime is 222849023. The reversal of 222849000 is 948222.

222849000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97875 + ... + 100125.

It is an arithmetic number, because the mean of its divisors is an integer number (4281615).

Almost surely, 2^222849000 is an apocalyptic number.

222849000 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 222849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411035040).

222849000 is an abundant number, since it is smaller than the sum of its proper divisors (599221080).

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

222849000 is a wasteful number, since it uses less digits than its factorization.

222849000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2272 counting only the distinct ones).

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

The square root of 222849000 is about 14928.1278129577. The cubic root of 222849000 is about 606.2757951259.

The spelling of 222849000 in words is "two hundred twenty-two million, eight hundred forty-nine thousand".