216245600 has 36 divisors (see below), whose sum is σ = 527911524. Its totient is φ = 86497920.

The previous prime is 216245599. The next prime is 216245611. The reversal of 216245600 is 6542612.

It is a super-3 number, since 3×216245600³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 216245600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134354 + ... + 135953.

It is an arithmetic number, because the mean of its divisors is an integer number (14664209).

Almost surely, 2^216245600 is an apocalyptic number.

216245600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216245600 is an abundant number, since it is smaller than the sum of its proper divisors (311665924).

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

216245600 is a wasteful number, since it uses less digits than its factorization.

216245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270327 (or 270314 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 216245600 is about 14705.2915646035. The cubic root of 216245600 is about 600.2273212716.

The spelling of 216245600 in words is "two hundred sixteen million, two hundred forty-five thousand, six hundred".