212288 has 28 divisors (see below), whose sum is σ = 438912. Its totient is φ = 101760.

The previous prime is 212281. The next prime is 212293. The reversal of 212288 is 882212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212281) by changing a digit.

212288 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 3 ways as a sum of consecutive naturals, for example, 1931 + ... + 2037.

2²¹²²⁸⁸ 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 212288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219456).

212288 is an abundant number, since it is smaller than the sum of its proper divisors (226624).

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

212288 is a wasteful number, since it uses less digits than its factorization.

212288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 212288 is about 460.7472191994. The cubic root of 212288 is about 59.6543084101.

The spelling of 212288 in words is "two hundred twelve thousand, two hundred eighty-eight".