225690240 has 256 divisors, whose sum is σ = 764951040. Its totient is φ = 56524800.

The previous prime is 225690239. The next prime is 225690247. The reversal of 225690240 is 42096522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 225690198 and 225690207.

It is not an unprimeable number, because it can be changed into a prime (225690247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3699810 + ... + 3699870.

It is an arithmetic number, because the mean of its divisors is an integer number (2988090).

Almost surely, 2^225690240 is an apocalyptic number.

225690240 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 225690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382475520).

225690240 is an abundant number, since it is smaller than the sum of its proper divisors (539260800).

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

225690240 is a wasteful number, since it uses less digits than its factorization.

225690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 225690240 is about 15022.9903814121. The cubic root of 225690240 is about 608.8415171044.

The spelling of 225690240 in words is "two hundred twenty-five million, six hundred ninety thousand, two hundred forty".