212053540 has 48 divisors (see below), whose sum is σ = 454189680. Its totient is φ = 83148800.

The previous prime is 212053531. The next prime is 212053561. The reversal of 212053540 is 45350212.

212053540 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 8 ways, for example, as 36385024 + 175668516 = 6032^2 + 13254^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227796 + ... + 228724.

It is an arithmetic number, because the mean of its divisors is an integer number (9462285).

Almost surely, 2^212053540 is an apocalyptic number.

212053540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212053540 is an abundant number, since it is smaller than the sum of its proper divisors (242136140).

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

212053540 is a wasteful number, since it uses less digits than its factorization.

212053540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 212053540 is about 14562.0582336427. The cubic root of 212053540 is about 596.3233872520.

The spelling of 212053540 in words is "two hundred twelve million, fifty-three thousand, five hundred forty".