222768 has 120 divisors (see below), whose sum is σ = 812448. Its totient is φ = 55296.

The previous prime is 222731. The next prime is 222773. The reversal of 222768 is 867222.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2688) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

222768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13096 + ... + 13112.

2²²²⁷⁶⁸ is an apocalyptic number.

222768 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 222768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224).

222768 is an abundant number, since it is smaller than the sum of its proper divisors (589680).

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

222768 is a wasteful number, since it uses less digits than its factorization.

222768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 42 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 222768 is about 471.9830505431. The cubic root of 222768 is about 60.6202330896.

Adding to 222768 its product of digits (2688), we get a triangular number (225456 = T₆₇₁).

It can be divided in two parts, 222 and 768, that added together give a triangular number (990 = T₄₄).

The spelling of 222768 in words is "two hundred twenty-two thousand, seven hundred sixty-eight".