206151330 has 288 divisors, whose sum is σ = 676831680. Its totient is φ = 39916800.

The previous prime is 206151301. The next prime is 206151347. The reversal of 206151330 is 33151602.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 206151297 and 206151306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3379500 + ... + 3379560.

It is an arithmetic number, because the mean of its divisors is an integer number (2350110).

Almost surely, 2^206151330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206151330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338415840).

206151330 is an abundant number, since it is smaller than the sum of its proper divisors (470680350).

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

206151330 is a wasteful number, since it uses less digits than its factorization.

206151330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 206151330 is about 14357.9709569284. The cubic root of 206151330 is about 590.7386420559.

It can be divided in two parts, 20615 and 1330, that added together give a triangular number (21945 = T₂₀₉).

The spelling of 206151330 in words is "two hundred six million, one hundred fifty-one thousand, three hundred thirty".