1224314832 has 80 divisors (see below), whose sum is σ = 3411309440. Its totient is φ = 376137216.

The previous prime is 1224314827. The next prime is 1224314869. The reversal of 1224314832 is 2384134221.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1224314832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602394 + ... + 604422.

It is an arithmetic number, because the mean of its divisors is an integer number (42641368).

Almost surely, 2^1224314832 is an apocalyptic number.

1224314832 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 1224314832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705654720).

1224314832 is an abundant number, since it is smaller than the sum of its proper divisors (2186994608).

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

1224314832 is a wasteful number, since it uses less digits than its factorization.

1224314832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3014 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 1224314832 is about 34990.2105166574. The cubic root of 1224314832 is about 1069.7879546038.

The spelling of 1224314832 in words is "one billion, two hundred twenty-four million, three hundred fourteen thousand, eight hundred thirty-two".