222816960 has 448 divisors, whose sum is σ = 875629440. Its totient is φ = 53084160.

The previous prime is 222816949. The next prime is 222817027. The reversal of 222816960 is 69618222.

It is a happy number.

222816960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5434540 + ... + 5434580.

It is an arithmetic number, because the mean of its divisors is an integer number (1954530).

Almost surely, 2^222816960 is an apocalyptic number.

222816960 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 222816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437814720).

222816960 is an abundant number, since it is smaller than the sum of its proper divisors (652812480).

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

222816960 is a wasteful number, since it uses less digits than its factorization.

222816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 222816960 is about 14927.0546324451. The cubic root of 222816960 is about 606.2467380701.

It can be divided in two parts, 22281 and 6960, that added together give a square (29241 = 171²).

The spelling of 222816960 in words is "two hundred twenty-two million, eight hundred sixteen thousand, nine hundred sixty".