206077230 has 192 divisors, whose sum is σ = 618912000. Its totient is φ = 48646656.

The previous prime is 206077229. The next prime is 206077237. The reversal of 206077230 is 32770602.

206077230 is a `hidden beast` number, since 20 + 607 + 7 + 2 + 30 = 666.

206077230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 206077194 and 206077203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206077237) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1482501 + ... + 1482639.

It is an arithmetic number, because the mean of its divisors is an integer number (3223500).

Almost surely, 2^206077230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206077230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309456000).

206077230 is an abundant number, since it is smaller than the sum of its proper divisors (412834770).

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

206077230 is a wasteful number, since it uses less digits than its factorization.

206077230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 206077230 is about 14355.3902768263. The cubic root of 206077230 is about 590.6678542853.

The spelling of 206077230 in words is "two hundred six million, seventy-seven thousand, two hundred thirty".