216252200 has 48 divisors (see below), whose sum is σ = 508477500. Its totient is φ = 85521920.

The previous prime is 216252199. The next prime is 216252209. The reversal of 216252200 is 2252612.

It can be written as a sum of positive squares in 6 ways, for example, as 112741924 + 103510276 = 10618^2 + 10174^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (216252209) 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, 11726 + ... + 23874.

Almost surely, 2^216252200 is an apocalyptic number.

216252200 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 216252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254238750).

216252200 is an abundant number, since it is smaller than the sum of its proper divisors (292225300).

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

216252200 is a wasteful number, since it uses less digits than its factorization.

216252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12254 (or 12245 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 216252200 is about 14705.5159719066. The cubic root of 216252200 is about 600.2334276926.

The spelling of 216252200 in words is "two hundred sixteen million, two hundred fifty-two thousand, two hundred".