10224140 has 24 divisors (see below), whose sum is σ = 22734432. Its totient is φ = 3848960.

The previous prime is 10224139. The next prime is 10224143. The reversal of 10224140 is 4142201.

It is not an unprimeable number, because it can be changed into a prime (10224143) 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 7 ways as a sum of consecutive naturals, for example, 14696 + ... + 15375.

It is an arithmetic number, because the mean of its divisors is an integer number (947268).

Almost surely, 2^10224140 is an apocalyptic number.

10224140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10224140 is an abundant number, since it is smaller than the sum of its proper divisors (12510292).

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

10224140 is a wasteful number, since it uses less digits than its factorization.

10224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30097 (or 30095 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 10224140 is about 3197.5209147088. The cubic root of 10224140 is about 217.0412402949.

Adding to 10224140 its reverse (4142201), we get a palindrome (14366341).

It can be divided in two parts, 102 and 24140, that added together give a palindrome (24242).

The spelling of 10224140 in words is "ten million, two hundred twenty-four thousand, one hundred forty".