10224432 has 120 divisors (see below), whose sum is σ = 31240560. Its totient is φ = 3110400.

The previous prime is 10224391. The next prime is 10224433. The reversal of 10224432 is 23442201.

10224432 is a `hidden beast` number, since 10 + 224 + 432 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10224433) 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, 101182 + ... + 101282.

It is an arithmetic number, because the mean of its divisors is an integer number (260338).

Almost surely, 2^10224432 is an apocalyptic number.

10224432 is a gapful number since it is divisible by the number (12) 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 10224432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15620280).

10224432 is an abundant number, since it is smaller than the sum of its proper divisors (21016128).

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

10224432 is a wasteful number, since it uses less digits than its factorization.

10224432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10224432 is about 3197.5665747565. The cubic root of 10224432 is about 217.0433064976.

Adding to 10224432 its reverse (23442201), we get a palindrome (33666633).

The spelling of 10224432 in words is "ten million, two hundred twenty-four thousand, four hundred thirty-two".