10224180 has 72 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 2688192.

The previous prime is 10224143. The next prime is 10224187. The reversal of 10224180 is 8142201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13861 + ... + 14579.

It is an arithmetic number, because the mean of its divisors is an integer number (436800).

Almost surely, 2^10224180 is an apocalyptic number.

10224180 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 10224180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

10224180 is an abundant number, since it is smaller than the sum of its proper divisors (21225420).

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

10224180 is a wasteful number, since it uses less digits than its factorization.

10224180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10224180 is about 3197.5271695484. The cubic root of 10224180 is about 217.0415233387.

Adding to 10224180 its reverse (8142201), we get a palindrome (18366381).

It can be divided in two parts, 10224 and 180, that added together give a square (10404 = 102²).

The spelling of 10224180 in words is "ten million, two hundred twenty-four thousand, one hundred eighty".