206228736 has 216 divisors, whose sum is σ = 716381120. Its totient is φ = 55738368.

The previous prime is 206228699. The next prime is 206228749. The reversal of 206228736 is 637822602.

206228736 is a `hidden beast` number, since 20 + 622 + 8 + 7 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 206228736.

It is a congruent number.

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, 306096 + ... + 306768.

Almost surely, 2^206228736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358190560).

206228736 is an abundant number, since it is smaller than the sum of its proper divisors (510152384).

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

206228736 is a wasteful number, since it uses less digits than its factorization.

206228736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 206228736 is about 14360.6662798075. Note that the first 3 decimals coincide. The cubic root of 206228736 is about 590.8125699375.

The spelling of 206228736 in words is "two hundred six million, two hundred twenty-eight thousand, seven hundred thirty-six".