222816 has 48 divisors (see below), whose sum is σ = 641088. Its totient is φ = 67200.

The previous prime is 222799. The next prime is 222823. The reversal of 222816 is 618222.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 222792 and 222801.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 222816.

It is an unprimeable number.

222816 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 7 ways as a sum of consecutive naturals, for example, 951 + ... + 1161.

It is an arithmetic number, because the mean of its divisors is an integer number (13356).

2²²²⁸¹⁶ 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 222816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320544).

222816 is an abundant number, since it is smaller than the sum of its proper divisors (418272).

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

222816 is a wasteful number, since it uses less digits than its factorization.

222816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 222816 is about 472.0338970879. The cubic root of 222816 is about 60.6245867404.

The spelling of 222816 in words is "two hundred twenty-two thousand, eight hundred sixteen".