206228440 has 64 divisors (see below), whose sum is σ = 512386560. Its totient is φ = 74075520.

The previous prime is 206228437. The next prime is 206228441. The reversal of 206228440 is 44822602.

206228440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 206228399 and 206228408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206228441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33697 + ... + 39343.

It is an arithmetic number, because the mean of its divisors is an integer number (8006040).

Almost surely, 2^206228440 is an apocalyptic number.

206228440 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 206228440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256193280).

206228440 is an abundant number, since it is smaller than the sum of its proper divisors (306158120).

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

206228440 is a wasteful number, since it uses less digits than its factorization.

206228440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5752 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 206228440 is about 14360.6559738753. The cubic root of 206228440 is about 590.8122872731.

The spelling of 206228440 in words is "two hundred six million, two hundred twenty-eight thousand, four hundred forty".