10225280 has 64 divisors (see below), whose sum is σ = 26346600. Its totient is φ = 3772416.

The previous prime is 10225223. The next prime is 10225307. The reversal of 10225280 is 8252201.

It can be written as a sum of positive squares in 4 ways, for example, as 9193024 + 1032256 = 3032^2 + 1016^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7706 + ... + 8934.

Almost surely, 2^10225280 is an apocalyptic number.

10225280 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 10225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13173300).

10225280 is an abundant number, since it is smaller than the sum of its proper divisors (16121320).

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

10225280 is a wasteful number, since it uses less digits than its factorization.

10225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 10225280 is about 3197.6991728429. The cubic root of 10225280 is about 217.0493067539.

Adding to 10225280 its reverse (8252201), we get a palindrome (18477481).

The spelling of 10225280 in words is "ten million, two hundred twenty-five thousand, two hundred eighty".