214820264 has 8 divisors (see below), whose sum is σ = 402788010. Its totient is φ = 107410128.

The previous prime is 214820257. The next prime is 214820267. The reversal of 214820264 is 462028412.

It can be written as a sum of positive squares in only one way, i.e., 194044900 + 20775364 = 13930^2 + 4558^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×214820264³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (214820267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13426259 + ... + 13426274.

Almost surely, 2^214820264 is an apocalyptic number.

It is an amenable number.

214820264 is a deficient number, since it is larger than the sum of its proper divisors (187967746).

214820264 is a wasteful number, since it uses less digits than its factorization.

214820264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26852539 (or 26852535 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 214820264 is about 14656.7480704282. The cubic root of 214820264 is about 598.9056570880.

Adding to 214820264 its reverse (462028412), we get a palindrome (676848676).

The spelling of 214820264 in words is "two hundred fourteen million, eight hundred twenty thousand, two hundred sixty-four".