222528768 has 288 divisors, whose sum is σ = 762918912. Its totient is φ = 55910400.

The previous prime is 222528763. The next prime is 222528773. The reversal of 222528768 is 867825222.

222528768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222528763) and next prime (222528773).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222528763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3134173 + ... + 3134243.

It is an arithmetic number, because the mean of its divisors is an integer number (2649024).

Almost surely, 2^222528768 is an apocalyptic number.

222528768 is a gapful number since it is divisible by the number (28) 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 222528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381459456).

222528768 is an abundant number, since it is smaller than the sum of its proper divisors (540390144).

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

222528768 is a wasteful number, since it uses less digits than its factorization.

222528768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 222528768 is about 14917.3981645594. The cubic root of 222528768 is about 605.9852516316.

The spelling of 222528768 in words is "two hundred twenty-two million, five hundred twenty-eight thousand, seven hundred sixty-eight".