225354060 has 144 divisors (see below), whose sum is σ = 726485760. Its totient is φ = 56384640.

The previous prime is 225354043. The next prime is 225354083. The reversal of 225354060 is 60453522.

225354060 is a `hidden beast` number, since 2 + 253 + 5 + 406 + 0 = 666.

225354060 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-3 number, since 3×225354060³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447769 + ... + 448271.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2^225354060 is an apocalyptic number.

225354060 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 225354060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363242880).

225354060 is an abundant number, since it is smaller than the sum of its proper divisors (501131700).

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

225354060 is a wasteful number, since it uses less digits than its factorization.

225354060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 225354060 is about 15011.7973607427. The cubic root of 225354060 is about 608.5390641294.

The spelling of 225354060 in words is "two hundred twenty-five million, three hundred fifty-four thousand, sixty".