10205226 has 24 divisors (see below), whose sum is σ = 22224384. Its totient is φ = 3384360.

The previous prime is 10205207. The next prime is 10205227. The reversal of 10205226 is 62250201.

10205226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10205226² = 208293275422152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10205199 and 10205208.

It is not an unprimeable number, because it can be changed into a prime (10205227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2455 + ... + 5141.

It is an arithmetic number, because the mean of its divisors is an integer number (926016).

Almost surely, 2^10205226 is an apocalyptic number.

10205226 is an abundant number, since it is smaller than the sum of its proper divisors (12019158).

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

10205226 is a wasteful number, since it uses less digits than its factorization.

10205226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10205226 is about 3194.5619418005. The cubic root of 10205226 is about 216.9073202447.

Adding to 10205226 its reverse (62250201), we get a palindrome (72455427).

The spelling of 10205226 in words is "ten million, two hundred five thousand, two hundred twenty-six".