225609420 has 96 divisors (see below), whose sum is σ = 674311680. Its totient is φ = 56194560.

The previous prime is 225609407. The next prime is 225609421. The reversal of 225609420 is 24906522.

225609420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225609420² = 101799220785472800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (225609421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81865 + ... + 84575.

It is an arithmetic number, because the mean of its divisors is an integer number (7024080).

Almost surely, 2^225609420 is an apocalyptic number.

225609420 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 225609420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337155840).

225609420 is an abundant number, since it is smaller than the sum of its proper divisors (448702260).

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

225609420 is a wasteful number, since it uses less digits than its factorization.

225609420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 225609420 is about 15020.3002633103. The cubic root of 225609420 is about 608.7688327528.

The spelling of 225609420 in words is "two hundred twenty-five million, six hundred nine thousand, four hundred twenty".