216202000 has 80 divisors (see below), whose sum is σ = 597497472. Its totient is φ = 74121600.

The previous prime is 216201977. The next prime is 216202009. The reversal of 216202000 is 202612.

It is a happy number.

216202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (216202009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6279 + ... + 21721.

Almost surely, 2^216202000 is an apocalyptic number.

216202000 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 216202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298748736).

216202000 is an abundant number, since it is smaller than the sum of its proper divisors (381295472).

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

216202000 is a wasteful number, since it uses less digits than its factorization.

216202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15473 (or 15457 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 216202000 is about 14703.8090303159. The cubic root of 216202000 is about 600.1869787626.

Adding to 216202000 its reverse (202612), we get a palindrome (216404612).

The spelling of 216202000 in words is "two hundred sixteen million, two hundred two thousand".