212547240 has 224 divisors, whose sum is σ = 740135880. Its totient is φ = 54867456.

The previous prime is 212547227. The next prime is 212547259. The reversal of 212547240 is 42745212.

212547240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 14579²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 211004676 + 1542564 = 14526^2 + 1242^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1078822 + ... + 1079018.

Almost surely, 2^212547240 is an apocalyptic number.

212547240 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 212547240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370067940).

212547240 is an abundant number, since it is smaller than the sum of its proper divisors (527588640).

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

212547240 is a wasteful number, since it uses less digits than its factorization.

212547240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 212547240 is about 14578.9999657041. Note that the first 4 decimals coincide. The cubic root of 212547240 is about 596.7858124096.

The spelling of 212547240 in words is "two hundred twelve million, five hundred forty-seven thousand, two hundred forty".