222934320 has 360 divisors, whose sum is σ = 893112480. Its totient is φ = 49674240.

The previous prime is 222934303. The next prime is 222934367. The reversal of 222934320 is 23439222.

222934320 is a `hidden beast` number, since 2 + 229 + 3 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×222934320³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2504836 + ... + 2504924.

It is an arithmetic number, because the mean of its divisors is an integer number (2480868).

Almost surely, 2^222934320 is an apocalyptic number.

222934320 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 222934320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446556240).

222934320 is an abundant number, since it is smaller than the sum of its proper divisors (670178160).

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

222934320 is a wasteful number, since it uses less digits than its factorization.

222934320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 222934320 is about 14930.9852320602. The cubic root of 222934320 is about 606.3531581995.

The spelling of 222934320 in words is "two hundred twenty-two million, nine hundred thirty-four thousand, three hundred twenty".