225206420 has 48 divisors (see below), whose sum is σ = 487941888. Its totient is φ = 87246720.

The previous prime is 225206417. The next prime is 225206447. The reversal of 225206420 is 24602522.

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, 199979 + ... + 201101.

It is an arithmetic number, because the mean of its divisors is an integer number (10165456).

Almost surely, 2^225206420 is an apocalyptic number.

225206420 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 225206420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243970944).

225206420 is an abundant number, since it is smaller than the sum of its proper divisors (262735468).

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

225206420 is a wasteful number, since it uses less digits than its factorization.

225206420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 225206420 is about 15006.8790892710. The cubic root of 225206420 is about 608.4061409490.

Adding to 225206420 its reverse (24602522), we get a palindrome (249808942).

The spelling of 225206420 in words is "two hundred twenty-five million, two hundred six thousand, four hundred twenty".