216250800 has 120 divisors (see below), whose sum is σ = 696163776. Its totient is φ = 57381120.

The previous prime is 216250787. The next prime is 216250813. The reversal of 216250800 is 8052612.

It is an interprime number because it is at equal distance from previous prime (216250787) and next prime (216250813).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368107 + ... + 368693.

Almost surely, 2^216250800 is an apocalyptic number.

216250800 is a gapful number since it is divisible by the number (20) 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 216250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348081888).

216250800 is an abundant number, since it is smaller than the sum of its proper divisors (479912976).

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

216250800 is a wasteful number, since it uses less digits than its factorization.

216250800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 216250800 is about 14705.4683706436. The cubic root of 216250800 is about 600.2321324016.

The spelling of 216250800 in words is "two hundred sixteen million, two hundred fifty thousand, eight hundred".