212233360 has 40 divisors (see below), whose sum is σ = 496202616. Its totient is φ = 84418560.

The previous prime is 212233331. The next prime is 212233361. The reversal of 212233360 is 63332212.

It can be written as a sum of positive squares in 4 ways, for example, as 23775376 + 188457984 = 4876^2 + 13728^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (212233361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7152 + ... + 21808.

Almost surely, 2^212233360 is an apocalyptic number.

212233360 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 212233360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248101308).

212233360 is an abundant number, since it is smaller than the sum of its proper divisors (283969256).

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

212233360 is a wasteful number, since it uses less digits than its factorization.

212233360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14851 (or 14845 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 212233360 is about 14568.2311898185. The cubic root of 212233360 is about 596.4918990587.

Adding to 212233360 its reverse (63332212), we get a palindrome (275565572).

The spelling of 212233360 in words is "two hundred twelve million, two hundred thirty-three thousand, three hundred sixty".