10228500 has 72 divisors (see below), whose sum is σ = 32281704. Its totient is φ = 2726400.

The previous prime is 10228489. The next prime is 10228511. The reversal of 10228500 is 582201.

It is an interprime number because it is at equal distance from previous prime (10228489) and next prime (10228511).

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 10227204 = 36^2 + 3198^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3364 + ... + 5636.

It is an arithmetic number, because the mean of its divisors is an integer number (448357).

Almost surely, 2^10228500 is an apocalyptic number.

10228500 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 10228500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16140852).

10228500 is an abundant number, since it is smaller than the sum of its proper divisors (22053204).

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

10228500 is a wasteful number, since it uses less digits than its factorization.

10228500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2283 counting only the distinct ones).

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

The square root of 10228500 is about 3198.2026202228. The cubic root of 10228500 is about 217.0720877248.

The spelling of 10228500 in words is "ten million, two hundred twenty-eight thousand, five hundred".