10224500 has 108 divisors (see below), whose sum is σ = 26578188. Its totient is φ = 3432000.

The previous prime is 10224493. The next prime is 10224503. The reversal of 10224500 is 542201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 7203856 + 3020644 = 2684^2 + 1738^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 786494 + ... + 786506.

Almost surely, 2^10224500 is an apocalyptic number.

10224500 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 10224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13289094).

10224500 is an abundant number, since it is smaller than the sum of its proper divisors (16353688).

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

10224500 is a wasteful number, since it uses less digits than its factorization.

10224500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 10224500 is about 3197.5772078247. The cubic root of 10224500 is about 217.0437876625.

Multiplying 10224500 by its product of nonzero digits (80), we get a square (817960000 = 28600²).

Adding to 10224500 its reverse (542201), we get a palindrome (10766701).

The spelling of 10224500 in words is "ten million, two hundred twenty-four thousand, five hundred".