212500288 has 224 divisors, whose sum is σ = 589897728. Its totient is φ = 73267200.

The previous prime is 212500259. The next prime is 212500291. The reversal of 212500288 is 882005212.

212500288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1985931 + ... + 1986037.

It is an arithmetic number, because the mean of its divisors is an integer number (2633472).

Almost surely, 2^212500288 is an apocalyptic number.

212500288 is a gapful number since it is divisible by the number (28) 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 212500288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294948864).

212500288 is an abundant number, since it is smaller than the sum of its proper divisors (377397440).

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

212500288 is a wasteful number, since it uses less digits than its factorization.

212500288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 212500288 is about 14577.3896154284. The cubic root of 212500288 is about 596.7418655503.

It can be divided in two parts, 212 and 500288, that added together give a triangular number (500500 = T₁₀₀₀).

The spelling of 212500288 in words is "two hundred twelve million, five hundred thousand, two hundred eighty-eight".