225573120 has 288 divisors, whose sum is σ = 821197440. Its totient is φ = 58613760.

The previous prime is 225573113. The next prime is 225573133. The reversal of 225573120 is 21375522.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2108107 + ... + 2108213.

It is an arithmetic number, because the mean of its divisors is an integer number (2851380).

Almost surely, 2^225573120 is an apocalyptic number.

225573120 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 225573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410598720).

225573120 is an abundant number, since it is smaller than the sum of its proper divisors (595624320).

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

225573120 is a wasteful number, since it uses less digits than its factorization.

225573120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 225573120 is about 15019.0918500421. The cubic root of 225573120 is about 608.7361811996.

The spelling of 225573120 in words is "two hundred twenty-five million, five hundred seventy-three thousand, one hundred twenty".