225355120 has 80 divisors (see below), whose sum is σ = 547464960. Its totient is φ = 86169600.

The previous prime is 225355069. The next prime is 225355129. The reversal of 225355120 is 21553522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×225355120³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225355129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220210 + ... + 221230.

It is an arithmetic number, because the mean of its divisors is an integer number (6843312).

Almost surely, 2^225355120 is an apocalyptic number.

225355120 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 225355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273732480).

225355120 is an abundant number, since it is smaller than the sum of its proper divisors (322109840).

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

225355120 is a wasteful number, since it uses less digits than its factorization.

225355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 225355120 is about 15011.8326662670. The cubic root of 225355120 is about 608.5400182582.

The spelling of 225355120 in words is "two hundred twenty-five million, three hundred fifty-five thousand, one hundred twenty".