825242220 has 144 divisors (see below), whose sum is σ = 2891554848. Its totient is φ = 188282880.

The previous prime is 825242207. The next prime is 825242233. The reversal of 825242220 is 22242528.

It is an interprime number because it is at equal distance from previous prime (825242207) and next prime (825242233).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21402 + ... + 45918.

It is an arithmetic number, because the mean of its divisors is an integer number (20080242).

Almost surely, 2^825242220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445777424).

825242220 is an abundant number, since it is smaller than the sum of its proper divisors (2066312628).

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

825242220 is a wasteful number, since it uses less digits than its factorization.

825242220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24560 (or 24555 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 825242220 is about 28727.0294322264. The cubic root of 825242220 is about 937.9805067454.

Adding to 825242220 its reverse (22242528), we get a palindrome (847484748).

The spelling of 825242220 in words is "eight hundred twenty-five million, two hundred forty-two thousand, two hundred twenty".