212224160 has 48 divisors (see below), whose sum is σ = 503999496. Its totient is φ = 84446208.

The previous prime is 212224157. The next prime is 212224163. The reversal of 212224160 is 61422212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212224157) and next prime (212224163).

It can be written as a sum of positive squares in 4 ways, for example, as 202663696 + 9560464 = 14236^2 + 3092^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (212224163) 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, 28154 + ... + 34886.

Almost surely, 2^212224160 is an apocalyptic number.

212224160 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 212224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251999748).

212224160 is an abundant number, since it is smaller than the sum of its proper divisors (291775336).

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

212224160 is a wasteful number, since it uses less digits than its factorization.

212224160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6945 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 212224160 is about 14567.9154308364. The cubic root of 212224160 is about 596.4832799224.

Adding to 212224160 its reverse (61422212), we get a palindrome (273646372).

The spelling of 212224160 in words is "two hundred twelve million, two hundred twenty-four thousand, one hundred sixty".