212242500 has 90 divisors (see below), whose sum is σ = 670483814. Its totient is φ = 56592000.

The previous prime is 212242493. The next prime is 212242507. The reversal of 212242500 is 5242212.

212242500 is a `hidden beast` number, since 2 + 122 + 42 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (212242493) and next prime (212242507).

It can be written as a sum of positive squares in 5 ways, for example, as 63011844 + 149230656 = 7938^2 + 12216^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212242507) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 17784 + ... + 27216.

Almost surely, 2^212242500 is an apocalyptic number.

212242500 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 212242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335241907).

212242500 is an abundant number, since it is smaller than the sum of its proper divisors (458241314).

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

212242500 is a wasteful number, since it uses less digits than its factorization.

212242500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9463 (or 9443 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 212242500 is about 14568.5448827259. The cubic root of 212242500 is about 596.5004617366.

Adding to 212242500 its reverse (5242212), we get a palindrome (217484712).

The spelling of 212242500 in words is "two hundred twelve million, two hundred forty-two thousand, five hundred".