10226800 has 60 divisors (see below), whose sum is σ = 25270456. Its totient is φ = 3974400.

The previous prime is 10226791. The next prime is 10226831. The reversal of 10226800 is 862201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14455 + ... + 15145.

Almost surely, 2^10226800 is an apocalyptic number.

10226800 is a gapful number since it is divisible by the number (10) 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 10226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12635228).

10226800 is an abundant number, since it is smaller than the sum of its proper divisors (15043656).

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

10226800 is a wasteful number, since it uses less digits than its factorization.

10226800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10226800 is about 3197.9368348984. The cubic root of 10226800 is about 217.0600611000.

It can be divided in two parts, 10226 and 800, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10226800 in words is "ten million, two hundred twenty-six thousand, eight hundred".