212144580 has 108 divisors (see below), whose sum is σ = 658793772. Its totient is φ = 55244160.

The previous prime is 212144551. The next prime is 212144627. The reversal of 212144580 is 85441212.

212144580 is a `hidden beast` number, since 21 + 21 + 44 + 580 = 666.

212144580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34082244 + 178062336 = 5838^2 + 13344^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1526151 + ... + 1526289.

Almost surely, 2^212144580 is an apocalyptic number.

212144580 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 212144580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329396886).

212144580 is an abundant number, since it is smaller than the sum of its proper divisors (446649192).

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

212144580 is a wasteful number, since it uses less digits than its factorization.

212144580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 212144580 is about 14565.1838299419. The cubic root of 212144580 is about 596.4087139951.

Adding to 212144580 its reverse (85441212), we get a palindrome (297585792).

The spelling of 212144580 in words is "two hundred twelve million, one hundred forty-four thousand, five hundred eighty".