206229120 has 128 divisors (see below), whose sum is σ = 675354240. Its totient is φ = 53489664.

The previous prime is 206229113. The next prime is 206229167. The reversal of 206229120 is 21922602.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 69589 + ... + 72491.

It is an arithmetic number, because the mean of its divisors is an integer number (5276205).

Almost surely, 2^206229120 is an apocalyptic number.

206229120 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 206229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337677120).

206229120 is an abundant number, since it is smaller than the sum of its proper divisors (469125120).

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

206229120 is a wasteful number, since it uses less digits than its factorization.

206229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 206229120 is about 14360.6796496545. The cubic root of 206229120 is about 590.8129366370.

The spelling of 206229120 in words is "two hundred six million, two hundred twenty-nine thousand, one hundred twenty".