212014208 has 128 divisors (see below), whose sum is σ = 528768000. Its totient is φ = 82575360.

The previous prime is 212014189. The next prime is 212014211. The reversal of 212014208 is 802410212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 212014208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471968 + ... + 472416.

It is an arithmetic number, because the mean of its divisors is an integer number (4131000).

Almost surely, 2^212014208 is an apocalyptic number.

212014208 is a gapful number since it is divisible by the number (28) 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 212014208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

212014208 is an abundant number, since it is smaller than the sum of its proper divisors (316753792).

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

212014208 is a wasteful number, since it uses less digits than its factorization.

212014208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 212014208 is about 14560.7076751098. The cubic root of 212014208 is about 596.2865159950.

The spelling of 212014208 in words is "two hundred twelve million, fourteen thousand, two hundred eight".