205917228 has 72 divisors (see below), whose sum is σ = 588893760. Its totient is φ = 62395920.

The previous prime is 205917227. The next prime is 205917259. The reversal of 205917228 is 822719502.

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

It is a junction number, because it is equal to n+sod(n) for n = 205917192 and 205917201.

It is not an unprimeable number, because it can be changed into a prime (205917223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1063 + ... + 20321.

It is an arithmetic number, because the mean of its divisors is an integer number (8179080).

Almost surely, 2^205917228 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 205917228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294446880).

205917228 is an abundant number, since it is smaller than the sum of its proper divisors (382976532).

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

205917228 is a wasteful number, since it uses less digits than its factorization.

205917228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19289 (or 19275 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 205917228 is about 14349.8163054445. The cubic root of 205917228 is about 590.5149463880.

The spelling of 205917228 in words is "two hundred five million, nine hundred seventeen thousand, two hundred twenty-eight".