206253216 has 120 divisors (see below), whose sum is σ = 653352084. Its totient is φ = 63452160.

The previous prime is 206253209. The next prime is 206253217. The reversal of 206253216 is 612352602.

206253216 is a `hidden beast` number, since 2 + 0 + 625 + 32 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 172659600 + 33593616 = 13140^2 + 5796^2 .

It is a super-2 number, since 2×206253216² = 85080778220685312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 206253216.

It is not an unprimeable number, because it can be changed into a prime (206253217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30636 + ... + 36756.

Almost surely, 2^206253216 is an apocalyptic number.

206253216 is a gapful number since it is divisible by the number (26) 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 206253216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326676042).

206253216 is an abundant number, since it is smaller than the sum of its proper divisors (447098868).

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

206253216 is a wasteful number, since it uses less digits than its factorization.

206253216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156 (or 6139 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 206253216 is about 14361.5185826569. The cubic root of 206253216 is about 590.8359461164.

It can be divided in two parts, 2062 and 53216, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 206253216 in words is "two hundred six million, two hundred fifty-three thousand, two hundred sixteen".