214205268 has 24 divisors (see below), whose sum is σ = 501526368. Its totient is φ = 71156896.

The previous prime is 214205267. The next prime is 214205269. The reversal of 214205268 is 862502412.

It is an interprime number because it is at equal distance from previous prime (214205267) and next prime (214205269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214205263) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26946 + ... + 33977.

It is an arithmetic number, because the mean of its divisors is an integer number (20896932).

Almost surely, 2^214205268 is an apocalyptic number.

It is an amenable number.

214205268 is an abundant number, since it is smaller than the sum of its proper divisors (287321100).

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

214205268 is a wasteful number, since it uses less digits than its factorization.

214205268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61223 (or 61221 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 214205268 is about 14635.7530725276. The cubic root of 214205268 is about 598.3335871763. Note that the first 3 decimals are identical.

The spelling of 214205268 in words is "two hundred fourteen million, two hundred five thousand, two hundred sixty-eight".