10224240 has 160 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 2408448.

The previous prime is 10224233. The next prime is 10224281. The reversal of 10224240 is 4242201.

10224240 = T₁₀₇ + T₁₀₈ + ... + T₃₉₆.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90424 + ... + 90536.

It is an arithmetic number, because the mean of its divisors is an integer number (222642).

Almost surely, 2^10224240 is an apocalyptic number.

10224240 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 10224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

10224240 is an abundant number, since it is smaller than the sum of its proper divisors (25398480).

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

10224240 is a wasteful number, since it uses less digits than its factorization.

10224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 10224240 is about 3197.5365517848. The cubic root of 10224240 is about 217.0419479030.

Adding to 10224240 its reverse (4242201), we get a palindrome (14466441).

It can be divided in two parts, 102 and 24240, that added together give a palindrome (24342).

The spelling of 10224240 in words is "ten million, two hundred twenty-four thousand, two hundred forty".