222768160 has 96 divisors (see below), whose sum is σ = 559319040. Its totient is φ = 83607552.

The previous prime is 222768149. The next prime is 222768167. The reversal of 222768160 is 61867222.

It is not an unprimeable number, because it can be changed into a prime (222768167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385792 + ... + 386368.

It is an arithmetic number, because the mean of its divisors is an integer number (5826240).

Almost surely, 2^222768160 is an apocalyptic number.

222768160 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 222768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279659520).

222768160 is an abundant number, since it is smaller than the sum of its proper divisors (336550880).

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

222768160 is a wasteful number, since it uses less digits than its factorization.

222768160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 222768160 is about 14925.4199270908. The cubic root of 222768160 is about 606.2024760281.

The spelling of 222768160 in words is "two hundred twenty-two million, seven hundred sixty-eight thousand, one hundred sixty".