282225346832 has 160 divisors (see below), whose sum is σ = 658906327296. Its totient is φ = 115405056000.

The previous prime is 282225346807. The next prime is 282225346859. The reversal of 282225346832 is 238643522282.

It is a super-2 number, since 2×282225346832² (a number of 24 digits) contains 22 as substring.

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, 18303158 + ... + 18318570.

Almost surely, 2^282225346832 is an apocalyptic number.

282225346832 is a gapful number since it is divisible by the number (22) 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 282225346832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329453163648).

282225346832 is an abundant number, since it is smaller than the sum of its proper divisors (376680980464).

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

282225346832 is a wasteful number, since it uses less digits than its factorization.

282225346832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15649 (or 15643 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 47.

The spelling of 282225346832 in words is "two hundred eighty-two billion, two hundred twenty-five million, three hundred forty-six thousand, eight hundred thirty-two".