225322020 has 192 divisors, whose sum is σ = 874137600. Its totient is φ = 46811520.

The previous prime is 225321997. The next prime is 225322037. The reversal of 225322020 is 20223522.

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

It is a junction number, because it is equal to n+sod(n) for n = 225321984 and 225322002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38871 + ... + 44289.

It is an arithmetic number, because the mean of its divisors is an integer number (4552800).

Almost surely, 2^225322020 is an apocalyptic number.

225322020 is a gapful number since it is divisible by the number (20) 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 225322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437068800).

225322020 is an abundant number, since it is smaller than the sum of its proper divisors (648815580).

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

225322020 is a wasteful number, since it uses less digits than its factorization.

225322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5455 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 225322020 is about 15010.7301621207. The cubic root of 225322020 is about 608.5102228241.

Adding to 225322020 its reverse (20223522), we get a palindrome (245545542).

The spelling of 225322020 in words is "two hundred twenty-five million, three hundred twenty-two thousand, twenty".