10500228 has 36 divisors (see below), whose sum is σ = 26748540. Its totient is φ = 3472896.

The previous prime is 10500187. The next prime is 10500229. The reversal of 10500228 is 82200501.

It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 6140484 = 2088^2 + 2478^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10500228² = 220509576103968, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10500228.

It is not an unprimeable number, because it can be changed into a prime (10500229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3868 + ... + 5996.

It is an arithmetic number, because the mean of its divisors is an integer number (743015).

Almost surely, 2^10500228 is an apocalyptic number.

10500228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10500228 is an abundant number, since it is smaller than the sum of its proper divisors (16248312).

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

10500228 is a wasteful number, since it uses less digits than its factorization.

10500228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10500228 is about 3240.4055301767. The cubic root of 10500228 is about 218.9775419518.

Adding to 10500228 its reverse (82200501), we get a palindrome (92700729).

The spelling of 10500228 in words is "ten million, five hundred thousand, two hundred twenty-eight".