225066240 has 216 divisors, whose sum is σ = 890268288. Its totient is φ = 51425280.

The previous prime is 225066239. The next prime is 225066241. The reversal of 225066240 is 42660522.

It is an interprime number because it is at equal distance from previous prime (225066239) and next prime (225066241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225066241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79245 + ... + 82035.

Almost surely, 2^225066240 is an apocalyptic number.

225066240 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 225066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445134144).

225066240 is an abundant number, since it is smaller than the sum of its proper divisors (665202048).

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

225066240 is a wasteful number, since it uses less digits than its factorization.

225066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 225066240 is about 15002.2078375151. The cubic root of 225066240 is about 608.2798803766.

The spelling of 225066240 in words is "two hundred twenty-five million, sixty-six thousand, two hundred forty".