214946208 has 72 divisors (see below), whose sum is σ = 615478500. Its totient is φ = 71153664.

The previous prime is 214946203. The next prime is 214946233. The reversal of 214946208 is 802649412.

214946208 is a `hidden beast` number, since 21 + 4 + 9 + 4 + 620 + 8 = 666.

214946208 is digitally balanced in base 2, 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 203575824 + 11370384 = 14268^2 + 3372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (214946203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40408 + ... + 45416.

Almost surely, 2^214946208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214946208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307739250).

214946208 is an abundant number, since it is smaller than the sum of its proper divisors (400532292).

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

214946208 is a wasteful number, since it uses less digits than its factorization.

214946208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 214946208 is about 14661.0438918926. The cubic root of 214946208 is about 599.0226755927.

The spelling of 214946208 in words is "two hundred fourteen million, nine hundred forty-six thousand, two hundred eight".