225933120 has 252 divisors, whose sum is σ = 904556484. Its totient is φ = 51609600.

The previous prime is 225933109. The next prime is 225933121. The reversal of 225933120 is 21339522.

225933120 is a `hidden beast` number, since 22 + 593 + 31 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 176145984 + 49787136 = 13272^2 + 7056^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225933121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140320 + ... + 141920.

Almost surely, 2^225933120 is an apocalyptic number.

225933120 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 225933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452278242).

225933120 is an abundant number, since it is smaller than the sum of its proper divisors (678623364).

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

225933120 is a wasteful number, since it uses less digits than its factorization.

225933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 225933120 is about 15031.0718180707. The cubic root of 225933120 is about 609.0598435049.

The spelling of 225933120 in words is "two hundred twenty-five million, nine hundred thirty-three thousand, one hundred twenty".