10224541032 has 96 divisors (see below), whose sum is σ = 26414164800. Its totient is φ = 3297842688.

The previous prime is 10224541031. The next prime is 10224541087. The reversal of 10224541032 is 23014542201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10224540993 and 10224541011.

It is not an unprimeable number, because it can be changed into a prime (10224541031) 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, 5013469 + ... + 5015507.

It is an arithmetic number, because the mean of its divisors is an integer number (275147550).

Almost surely, 2^10224541032 is an apocalyptic number.

10224541032 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 10224541032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13207082400).

10224541032 is an abundant number, since it is smaller than the sum of its proper divisors (16189623768).

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

10224541032 is a wasteful number, since it uses less digits than its factorization.

10224541032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 10224541032 in words is "ten billion, two hundred twenty-four million, five hundred forty-one thousand, thirty-two".