212214240 has 288 divisors, whose sum is σ = 851497920. Its totient is φ = 47112192.

The previous prime is 212214239. The next prime is 212214269. The reversal of 212214240 is 42412212.

212214240 is a `hidden beast` number, since 21 + 221 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 372676 + ... + 373244.

It is an arithmetic number, because the mean of its divisors is an integer number (2956590).

Almost surely, 2^212214240 is an apocalyptic number.

212214240 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 212214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425748960).

212214240 is an abundant number, since it is smaller than the sum of its proper divisors (639283680).

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

212214240 is a wasteful number, since it uses less digits than its factorization.

212214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212214240 is about 14567.5749526131. The cubic root of 212214240 is about 596.4739859659.

Adding to 212214240 its reverse (42412212), we get a palindrome (254626452).

The spelling of 212214240 in words is "two hundred twelve million, two hundred fourteen thousand, two hundred forty".