222912768 has 144 divisors (see below), whose sum is σ = 649010880. Its totient is φ = 67510272.

The previous prime is 222912761. The next prime is 222912773. The reversal of 222912768 is 867219222.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (48384) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (222912761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828538 + ... + 828806.

It is an arithmetic number, because the mean of its divisors is an integer number (4507020).

Almost surely, 2^222912768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324505440).

222912768 is an abundant number, since it is smaller than the sum of its proper divisors (426098112).

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

222912768 is a wasteful number, since it uses less digits than its factorization.

222912768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 222912768 is about 14930.2634939910. The cubic root of 222912768 is about 606.3336179983. Note that the first 3 decimals are identical.

The spelling of 222912768 in words is "two hundred twenty-two million, nine hundred twelve thousand, seven hundred sixty-eight".