222258816 has 320 divisors, whose sum is σ = 761995080. Its totient is φ = 63700992.

The previous prime is 222258779. The next prime is 222258823. The reversal of 222258816 is 618852222.

222258816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 177422400 + 44836416 = 13320^2 + 6696^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2291280 + ... + 2291376.

Almost surely, 2^222258816 is an apocalyptic number.

222258816 is a gapful number since it is divisible by the number (26) 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 222258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380997540).

222258816 is an abundant number, since it is smaller than the sum of its proper divisors (539736264).

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

222258816 is a wasteful number, since it uses less digits than its factorization.

222258816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 222258816 is about 14908.3471920934. The cubic root of 222258816 is about 605.7401101061.

The spelling of 222258816 in words is "two hundred twenty-two million, two hundred fifty-eight thousand, eight hundred sixteen".