225345120 has 576 divisors, whose sum is σ = 984566016. Its totient is φ = 42577920.

The previous prime is 225345101. The next prime is 225345121. The reversal of 225345120 is 21543522.

225345120 = T₃₈₄ + T₃₈₅ + ... + T₁₁₂₀.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225345121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3363327 + ... + 3363393.

It is an arithmetic number, because the mean of its divisors is an integer number (1709316).

Almost surely, 2^225345120 is an apocalyptic number.

225345120 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 225345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492283008).

225345120 is an abundant number, since it is smaller than the sum of its proper divisors (759220896).

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

225345120 is a wasteful number, since it uses less digits than its factorization.

225345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 225345120 is about 15011.4995919795. The cubic root of 225345120 is about 608.5310169240.

Adding to 225345120 its reverse (21543522), we get a palindrome (246888642).

The spelling of 225345120 in words is "two hundred twenty-five million, three hundred forty-five thousand, one hundred twenty".